x + 2y = 7
x - y = 1

Solve for x and y?​

Answers

Answer 1

Answer:

y=2

x=3

Step-by-step explanation:

make x - y = 1 into x= y + 1

put that wherever x is in the other equation

so y + 1 + 2y =7. then combine like terms into 3y =6. then divide 6 by 3 so you get y = 2

then substitute 2 into the y in the equation x - y = 1 and you get x = 3

Answer 2

METHOD OF ELIMINATION:

Given pair of linear equations are:

x+2y= 7 – – – Eqn(i)

On comparing with a1x+b1y+c1 = 0

a1 = 1, b1 = 2, c1 = -7

x-y = 1 – – – Eqn(ii)

On comparing with a2x+b2y+c2 = 0

a2 = 1, b2 = -1 , c2 = -1

a1/a2 = 1/1 = 1

b1/b2 = 2/-1 = -2

c1/c2 = -7/-1 = 7

We have,

a1/a2 ≠ b1/b2 ≠ c1/c2

So, Given pair of linear equations in two variables have a unique solution.

Now,

On Subtracting eqn(ii) from eqn(i) then

x+2y = 7

x-y = 1

(-)

_______

0 +3y = 6

_______

⇛ 3y = 6

⇛ y = 6/3

⇛ y = 2

On Substituting the value of y in (1) then

⇛ x-2 = 1

⇛ x = 1+2

⇛x = 3

Answer: Therefore , the value of x and y with be (3,2) respectively.

Additional comment:

If a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ = 0 are pair of linear equations in two variables thenIf a₁/a₂ ≠b₁/b₂ ≠ c₁/c₂ then they are Consistent and independent lines or Intersecting lines and they have a unique solution.If a₁/a₂ = b₁/b₂ = c₁/c₂ then they are Consistent and dependent lines or Coincident lines and they have infinitely number of many solutions.If a₁/a₂ =b₁/b₂ ≠ c₁/c₂ then they are Inconsistent lines or Parallel lines lines and they have no solution.

Related Questions

I need help please :(

Answers

Answer:

x = 7

Step-by-step explanation:

Given:

∠DEF = 117°

∠DEG = (12x + 1)°

∠GEF = (5x - 3)°

Find:

value of x

Computation:

∠DEF = ∠DEG + ∠GEF

117° = (12x + 1)° + (5x - 3)°

117° = 17 x - 2

x = 7

Answer:

7

Step-by-step explanation:

(12x + 1) + (5x - 3) = 117

17x - 2 = 117  Combine like terms

17x = 119   Add 2 to both sides

x = 7  Divide both sides by 17

10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.

Answers

The given ratio becomes 6x : 3x : x.

6x = black paint

3x = green paint

x = blue paint

6x + 3x + x = 500

10x = 500

x = 500/10

x = 50

6x = 6(50) = 300

3x = 3(50) = 150

x = 50

Answer:

300 ml of the black paint.

150 ml of the green paint.

50 ml of the blue paint.

activist judges believe that federal judges should

Answers

Answer:

beyond the words of a constitution or statute to consider the broader societal implications of their decisions.

Step-by-step explanation:

which is an equation of the line that goes through the points (-4,7) and (-4,11)​

Answers

Answer:

it's a answer!!

Step-by-step explanation:

ITS AN ANSWER BECAUSE IT CAN BE! THATS WHY! BLAH BLAH BLAH! I do not say blah blah blah

The school band sold T-shirts for a fundraiser. They earned $6 profit on each T-shirt minus $4 for flyers. Give verbal description relating the number of T-shirts and the profit. Find the profit for selling 30 T-shirts

Answers

The school band could have a profit of $ 60 for selling 30 T-Shirts.

For the sale of each T-shirt the school band have a net profit of $ 6, of which $ 4 are discounted by concept of flyers and, thus, this band has a final profit of $ 2 for the sale of a T-shirt. The total profit for T-shirt sales equals the product of number of T-shirts sold and the final profit for each T-shirt sold.

Hence, the profit for selling 30 T-shirts is shown below:

[tex]C = (\$\,2)\cdot (30)[/tex]

[tex]C = \$\,60[/tex]

The school band could have a profit of $ 60 for selling 30 T-Shirts.

To learn more on net profit issues, we kindly invite to check this verified question: https://brainly.com/question/13749820

Given 1 || m , find the value of %.
(7x - 1)
125"
m
Find x

Answers

Answer:x = 18Introduction:

We know that 7x - 1 must equal 125 because of Alternate interior angles. Now, let's solve for x.

Step-by step solution:=> 7x - 1 = 125=> 7x = 126=> x = 126 ÷ 7=> x = 18Conclusion:

Therefore, we can conclude that x = 18.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

[tex]\\ \tt\Rrightarrow 7x-1=125[/tex]

[tex]\\ \tt\Rrightarrow 7x=125+1[/tex]

[tex]\\ \tt\Rrightarrow 7x=126[/tex]

[tex]\\ \tt\Rrightarrow x=126/7[/tex]

[tex]\\ \tt\Rrightarrow x=18[/tex]

John borrowed $5,000 from his parents to buy a car. He made a one-time payment of $1,500 and then he is going to pay his mother $250 each month. How long will it take for him to pay off the car?

Answers

Answer:

14 months

Step-by-step explanation:

5000=1,500+250m

m=months

5000-1500= 3500

3500=250m

3500÷250=14

14=m

Answer:

14 months

Step-by-step explanation:

He already payed $1,500 of the $5,000 payment.

$5,000 - $1,500

So that means he has $3,500 left to pay.

If he is going to pay $250 per month.

Then do $3,500 divided by $250.

$3,500 ÷ $250

Which is 14 months.

Austin didn’t win first or last place. The snowmen wearing scarves with stripes were in second and last place. Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman. Keira placed better than Shelby but not as good as Matthew.

Answers

Answer:

1st - Matthew

2nd - Kiera

3rd - Jeffrey

4th - Austin

5th - Shelby

The sequence of the statement will be Matthew is in the first place, Kiera is in second place, Jeffrey is in third place, Austin is in fourth place, and Shelby is in fifth place.

What is sequence?

An ordered collection of objects that allows repetitions is referred to as a sequence. It has members, just like a set does. The length of the sequence is determined by the number of items.

Given:

Austin didn’t win first or last place,

The snowmen wearing scarves with stripes were in second and last place,

Austin’s snowman came in after Jeffrey’s but before Shelby’s snowman,

Keira placed better than Shelby, but not as well as Matthew,

The sequence of the above statement can be written as,

1st - Matthew

2nd - Kiera

3rd - Jeffrey

4th - Austin

5th - Shelby

To know more about the sequence:

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the elements of the periodic table are numbered from 1 to 118 and Atom's place on the table is determined solely by which property A mass number B number of protons C number of neutrons D number of electrons​

Answers

The atom's place on the table is determined solely by its number of protons

A periodic table is a table containing different elements and arranged across the periods and groups of the table.

The elements in a periodic table are numbered and arranged based on their atomic number.

Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons

Learn more about periodic table here;https://brainly.com/question/14514242

Answer:

number of protons

Step-by-step explanation:

Factorize the following: 9x²+6x+1-25y²

Answers

Answer:

(3x - 5y + 1)(3x + 5y + 1).

Step-by-step explanation:

9x²+6x+1-25y²

= 9x^2 - 25y^2 + 6x + 1

= (3x - 5y)(3x + 5y) + 6x + 1

3x + 3x = 6x and 1 * 1 = 1 so we have:

= (3x - 5y + 1)(3x + 5y + 1)

Hans Raj 4 years, 5 months ago
9x2+6x+1−25y2
.......................... (3x)2+(2x3xx1)+(1)2−25y2
.................................applying Rule (a+b)2=a2+b2+2ab
.(3x+1)2−(5y)2
........................... . (3x+1+5y)(3x+1−5y)
.................................. .... applying Rule a2−b2=(a+b)(a−b)

Which functions could be represented by the graph? Check all that apply.

f(x) = | x + 0.14|
f(x) = |x| + 1.3
f(x) = |x – 7|
f(x) = |x + 12|
f(x) = |x| – 17
f(x) = |x – 23|

Answers

The possible functions are:

[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]

The parent function of an absolute value function is:

[tex]f(x) = |x|[/tex]

From the diagram (see attachment), we can see that the function is shifted to the right by few units.

The rule of this translation is:

[tex](x,y) \to (x + b,y)[/tex]

Where b represents the number of units.

So, we have:

[tex]f(x) = |x + b|[/tex]

From the list of given options, the possible functions are:

[tex]f(x) = |x + 0.14|[/tex] and [tex]f(x) = |x + 12|[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871

Answer:

c and f are correct

Step-by-step explanation:

Suppose you are putting up a tent for a camping trip.
The 9 foot center pole makes a right angle with the ground. If a rope goes from the top of the pole to a point on the ground 12 feet away from the base of the pole. how long of a rope is needed?

Answers

The length of the rope needed is 15 feet

Given the following parameters;

Height of the pole = 9 footThe distance from the rope away from the base of the pole is 12 feet

Required

Length of the rope.

To get the length of the rope, you will use the pythagoras theorem expressed as:

c² = a² + b²

Substituting the given parameters:

c² = 9² + 12²

c² =81 + 144

c² = 225

c = √225

c = 15 feet

Therefore the length of the rope needed is 15 feet

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M is directly proportional to r³ when r=4, m=160.work out the value of r when m=20

Answers

Die haben sich auch schon in den nächsten Jahren und in den letzten Wochen nicht so viel 5=5

Im just straight up confused. And dont leave a link

Answers

Answer:

The bottom left graph is a function

Step-by-step explanation:

I was pretty confused at first with this, too. To find if a graph is a function, however, just preform the vertical line test! Basically, draw a vertical line on each graph. At any point does it go through two or more points? Well, its not a function. We can see a vertical line would completly overlap the first graph, it would go through the half circle graph twice, and the circle? Well, that ones rather obvious...

With this test, we can see the only graph that passes the vertical line test is the bottom left graph (or the weird squiggly one)!

Hope this helps for future function solving!

C. I Believe! ( the bottom left corner )

A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in ​21 minute? In ​1 hour?

Answers

15 3/4 miles in 21 minutes
45 miles in an hour
hope this is helpful!

The U.S. Energy Department states that 60% of all U.S. households have ceiling fans. In addition, 29% of all U.S. households have an outdoor grill. Suppose 13% of all U.S. households have both a ceiling fan and an outdoor grill. If a U.S. household is randomly selected, the probability that the household has neither a ceiling fan nor an outdoor grill is

Answers

Answer:

Very sorry if this is no help

Step-by-step explanation:

help me Kaite bought 3 DVD's for $ 45. What was the cost of each DVD's

Answers

Answer:

45/3 = 15

They each where $15

Hope that helps

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

All you need to do is divide 45 by 3 and you get 15

Can someone help me please

Answers

Answer:i dont know 1

2. variable

3. terms

Step-by-step explanation:

1. Represent the following sentence as an algebraic expression, where "a number" is the letter x.

8 is added to a number.

2. When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?

Original Equation:
4x-5= -4
First Step:
4x= 1

A. multiplication property of equality
B. addition property of equality
C. commutative property of addition
D. commutative property of multiplication

Answers

Answer:

The answer is C since she is adding 5 to both sides

Hope This Helps!!!

On the first day of the trip, Robert canoes for 3 hours. How far did Robert travel?

I need help I don't know how to solve this please help​

Answers

Answer:

9 miles per hour

Step-by-step explanation:

He goes 3/4 of a mile in 15 minutes, so multiply x 4 to get how far per hour. 3/4 x 4 = 12/4 = 3 miles per hour. He went for 3 hours, so 3 x 3 = 9.

After a rotation, A(-3,4) maps to A/4, 3), B(4.-5) maps to BY-5,-4), and C(1,6) maps to C(6.-1). Which rule
describes the rotation?
O RO 90
O Ra 180°
O Ro 270
ORO 360°

Answers

Answer:

3rd option

Step-by-step explanation:

Under a rotation about the origin of 270°

a point (x, y ) → (y, - x ) , then

A (- 3, 4 ) → (4, - 3 )

B (4, - 5 ) → (- 5, - 4 )

C (1, 6 ) → (6, - 1 )

The center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).

What is coordinate plane?

The coordinate plane is a two-dimensional plane formed by the intersection of a horizontal number line, called the x-axis, and a vertical number line, called the y-axis.

The given information suggests that each point has been rotated 90 degrees counterclockwise around some point (h, k) on the coordinate plane.

To find this point, we can use the fact that the midpoint of the line segment joining each point to its image must be the center of rotation.

Midpoint of segment AA'/4: ((-3 + 4)/2, (4 + 3)/2) = (1/2, 7/2)

Midpoint of segment BB'/5: ((4 - 5)/2, (-5 - 4)/2) = (-1/2, -9/2)

Midpoint of segment CC'/6: ((1 + 6)/2, (6 - 1)/2) = (7/2, 5/2)

Thus, the center of rotation is therefore (h, k) = (1/2, 7/2), and the rule for the rotation is R90 (a 90-degree counterclockwise rotation about the point (1/2, 7/2)).

For more details regarding coordinate plane, visit:

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find possible lenth and breadth of the rectangle whose area is given by the expression x power 2 +6x +8

Answers

[tex]x^2 +6x +8\\\\=x^2 + 4x +2x +8\\\\=x(x+4) +2(x+4)\\\\=(x+2)(x+4)\\\\\text{Possible length and breadth of the rectangle are (x+4) and (x+2) respectively.}[/tex]

Am I right? Should I've to add more info?(only about Rectangle and Square)

Answers

Answer:

Yh its right.

Step-by-step explanation:

Have a great day!

Answer:

yeah it is correct

Step-by-step explanation:

and well hruu

which pairs of polygons are congruent?

A. 3 and 4

B. 1 and 3

C. 1, 3, and 4

D. 2, 3, and 4

E. 1, 2, 3 and 4

Answers

Answer:

B

Step-by-step explanation:

In the summer reading program, a participant earns 50 stars for reading 10 books. The library tracks the number of stars(y, vertical axis) and books ( x, horizontal axis) on a graph. Which statements are correct.

A: Point(5,1) Represents the unit rate
B: Point(1,5) Represents the unit rate
C: Point(0,50) Represents the unit rate
D: Point(100,20) Represents reading 20 books
E: Point(20,100)Represents reading 20 books


Please help, I will give you the brainliest answer​

Answers

Answer:

C: Point(0,50) Represents the unit rate

Step-by-step explanation:

the amount in Jamaican dollars one would get for US $200​

Answers

200 US Dollar is 30837.86 Jamaican Dollar.

Mark’s canoes rents canoes for $20 plus $13 per hour. You do not want to spend more than $150. For how many hours can you afford to rent the canoe?

Answers

Answer: x ≤ 10

Step-by-step explanation:

20 + 13x ≤ 150

13x ≤ 150 - 20

13x ≤ 130

x ≤ 130 ÷ 13

x ≤ 10

does anyone know the account brookebyewater?

Answers

Yes it's an account of a person on brainly- they're rank is "expert".

Hope this helped you-have a good day bro cya)

PLEASE NO LINKS AND NO NEGATIVITY

Answers

Answer: bring the purple column to 5 and then green to 6

Step-by-step explanation: you need to divide which results you with 5/6

Answer: It takes john 1.2 months to read one book

Step-by-step explanation:

In - order to find out the answer we need to do [ months / books ] --> 12 / 10

what is 12 divided by 10 ? 1.2

Translate math sentence in solution.
1.Nine more than a number.
2.One half multiplied by a number.
3.Three more than half of a number.
4. A number increased by seven.
5.Quotient of a number and two tenths.
6.Product of four and a number.
7.Two cubed divided by a number.
8.Difference of ten and a number.
9.Five squared minus a number.
10.Twenty-nine decreased by a number.

Answers

Answer:

[tex]x + 9[/tex]

[tex] \frac{1}{2} \times x[/tex]

[tex]0.5x + 3[/tex]

[tex]x + 7[/tex]

[tex]0.2x[/tex]

[tex]4x[/tex]

[tex] {2}^{3} \div x[/tex]

[tex]10 - x[/tex]

[tex] {5}^{2} - x[/tex]

[tex]29 - x[/tex]

1) n+9
2) 1/2n
3) 1/2n+3
4) n+7
5) n/2/10
6) 4n
7) 2^2/n
8) 10-n
9) 5^2-n
10) 29-n
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