How do you solve the equation above using substitution? Please show work :)

How Do You Solve The Equation Above Using Substitution? Please Show Work :)

Answers

Answer 1

Answer:

the solution is (21/2, 19/2)

Step-by-step explanation:

The first equation, x = y + 1, has already been solved for x.  We can eliminate x in the second equatin by substituting y + 1 for x:

y = -(1/3)(y + 1) + 6

Let's eliminate fractions by multiplying all three terms by 3:

3y = y + 1 + 18

Combining like terms results in:

2y = 19, so that y = 19/2.

Substituting this 19/2 for y in the first equation, we get:

19/2 + 2/2 = x, or

x = 21/2

Thus the solution is (21/2, 19/2)


Related Questions

A graph shows time (minutes), numbered 2 to 18 on the horizontal axis (t), and altitude in feet, numbered 30 to 270 on the vertical axis (h). A solid circle appears at point (0, 210) and point (14, 0), and a line connects the 2 points.
What is the domain of the function represented in the graph?

{t| 0 ≤ t ≤ 14}
{h| 0 ≤ h ≤ 210}
{t | 0 ≤ t ≤ 210}
{h | 0 ≤ h ≤ 14}

Answers

Answer:

its A

Step-by-step explanation:

Carl wheezer told me

The domain of the function will be {t| 0 ≤ t ≤ 14}. so the correct option is A.

Since we know that the domain of a function refers to the set of possible input values or the values that the independent variable can take.

Thus, the independent variable is represented by the horizontal axis, which is time (t) in minutes.

We are given that the solid circle appears at point (0, 210) and point (14, 0), and a line connects these two points.

The x-coordinate of the first point is 0, and the x-coordinate of the second point is 14. So, the time values that correspond to these points are 0 minutes and 14 minutes, respectively.

We can see that the function is defined from time 0 to time 14.

Therefore, the correct answer is:

{t | 0 ≤ t ≤ 14}

This means that the domain of the function is the set of all possible values of t such that t is greater than or equal to 0 and less than or equal to 14.

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Graph the line that passes through the points (3, -5)(3,−5) and (-1, -9)(−1,−9) and determine the equation of the line.

Answers

Answer:

[tex]y=x-8[/tex] or [tex]y+5=x-3[/tex]

Step-by-step explanation:

To write an equation finding the equation of a line you can use y-y1=m(x-x1)

Step 1: Find the slope using slope formula [tex]\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

[tex]\frac{-9 -(-5)}{-1 -3}=\frac{-4}{-4} =1[/tex]

Step 2: Plug in numbers to Point Slope Form.

[tex]y-(-5)=1(x-3)=y+5=x-3[/tex]

Step 3: Depending on what your teacher prefers you can also change it into slope-intercept form

[tex]y=x-8[/tex]

What is the line equation for the line of reflection

Answers

D: Y=2

It makes sense

Answer:

y=2

Step-by-step explanation:

Find the area of this sector

Answers

Answer:

1492.885

Step-by-step explanation:

the whole circle has 360°  and an area of pi*r² =pi*24²=pi* 576

for 360°  and A=pi*576

for 360-63= 297°  and A= (297*576*pi) / 360 = 1,492.885 m²

given the polynomial function below find F(-4) f(x)=2x^ 2 -x + 9

Answers

Answer:

45

Step-by-step explanation:

The value of f(-4) in the polynomial functions f(x) = 2x² - x + 9 is 45

How to evaluate the function?

The function is given as:

f(x) = 2x² - x + 9

Substitute -4 for x

f(-4) = 2(-4)² - (-4) + 9

Evaluate the exponents

f(-4) = 2(16) - (-4) + 9

Evaluate the product

f(-4) = 32 - (-4) + 9

Evaluate the sum and the difference

f(-4) = 45

Hence, the value of f(-4) is 45

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QUESTION - What is -2(3x + 12y - 17x - 16y + 4) simplified? ANSWERS A. -40x + 8y + 2 B. 28x + 8y + 2 C. 28x + 6y + 2 D. -28x - 8y + 2 -------------------------- Time remaining - 1 hour and 38 minute -------------------------- Please help me! Thank you!

Answers

Answer:

28 + 8y - 8

Step-by-step explanation:

According to the problem;

-2(3x + 12y - 17x - 16y + 4)

Collecting like terms;

-2(3x -17x + 12y - 16y + 4)

-2(-14x - 4y + 4)

28 + 8y - 8

None of the options matches the correct answer.

Katie ordered candles that cost $3 each from a website. She was charged a flat shipping fee of $6 and no sales tax. If she spent a total of $54, which equation can be used to find c, the number of candles she ordered?

Answers

Answer:

Equation can be used to find  the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

Step-by-step explanation:

A. 3c = 54

B. 6c = 54

C. 3c + 6 = 54

D. 3c – 6 = 54

As given

Katie ordered candles that cost $3 each from a website.

She was charged a flat shipping fee of $6 and no sales tax.

If she spent a total of $54,

c represented the number of candles .

Equation becomes

Total cost = Cost per candle + Flat shipping fee

54 =  3 × c + 6

54 = 3c + 6

Equation can be used to find  the number of candles (c) Katie ordered is 54 = 3c + 6 .

Option (C) is correct .

2 more leftttt yay help

Answers

Answer:

25%

Step-by-step explanation:

1/4 is 25% of 4 areas please Brainliest

Estimate the sum to the nearest whole number. Then perform the
calculation.
8.575 + 12.625 + 8.4 + 70.4

Answers

Answer:

=100

Step-by-step explanation:

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︎ ︎ ︎︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎

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which is the correct? help me please​

Answers

Answer:

The answer is B. AAA

Step-by-step explanation:

This (AAA) is one of the three ways to test that two triangles are similar . ... If all three angles in one triangle are the same as the corresponding angles in the other, then the triangles are similar.

Answer:

B.

Step-by-step explanation:

am i wrong or right?i will give brainliest to the right answer

Answers

Answer:

The correct answer is the first one

Step-by-step explanation:

The initial charge means when x is 0.

When x is 0, the y-value would be $3 (i think you thought that the initial value was 1)

Good luck with other questions

add 6 and 3, then multiply b by the result

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Can you solve ?
|2x-9|=7
What is the answer please

Answers

Split it into 2 equations
2x-9 = 7
2x = 16
x = 8
And another equation
2x-9 = -7
2x = 2
x = 1
The answer is x =1, x= 8

Evaluate the expression: 3d - 4 where d = 1.2

Answers

Answer:

-0.4

Step-by-step explanation:

3d-4 where d=1.2

substitute 1.2 for d and solve

3(1.2)-4

3.6-4= -0.4

-0.4 is the value of expression 3d-4 when d is 1.2

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 3d-4

Three times of d minus four

d is the variable in the expression and minus is the operator

We need to find the value of expression when d is 1.2

Substitute d =1.2 in the expression

3(1.2)-4

Three times of one point two minus four

3.6-4

-0.4

Hence, -0.4 is the value of expression 3d-4 when d is 1.2

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What is the surface area of a cuboid of sides 2 cm, 3 cm, and 5 cm?

Answers

Answer:

the answer is 19cm thank you

Answer:100cm

Step-by-step explanation:

10+4=14

8+10=18

14x2=28

18x4=72

28+72

Which has a quotient of 60?

A. 480÷80
B. 4,800÷8
C. 4,800÷80
D. 4,800÷800

Answers

Answer:

c 4800/80 =60

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

divide 60 by the 8 and see which it gets

Write this statement as a conditional statement in the form “if p, then q.”

Two angles are supplementary angles if the sum of their angle measures is equal to 180 degrees.

Answers

Answer:

if two angles are supplementary angles, then the sum of their angle measures is equal to 180°.

Step-by-step explanation:

the if p statement is called the hypothesis of the conditional statement.

the then q statement of the conditional statement is called the conclusion.

What is the equation of the line that passes through the point (4, - 7) and has a slope of ? -1/2

Answers

Answer:

y= -1/2x -5

Step-by-step explanation:

in slope intercept form

Answer:

y=-1/2x-5

Step-by-step explanation:

Hope it helps!

What percent of 85 is 51 ?​

Answers

Answer:

60%

Step-by-step explanation:

51/85×100×1/00

=3/5×100×1/100

=60×1/100

=60%

60 percent of 85 is equal to 51.

As per the given data:

We have to find what percent of 85 is 51.

In mathematics, a value or ratio that can be expressed as a fraction of 100 is known as a percentage. To determine a percentage of a number, divide it by its value, then multiply the result by 100.

By using the above definition, we can find percentage.

Let's assume x percent of 85 is equal to 51.

= x% of 85 = 51

= (x/100) × 85 = 51

= (x/100) = 51/85

= (x/100) = 0.6

= x = 0.6 × 100 = 60

Hence, 60 percent of 85 is equal to 51.

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the floor of a room 3m wide and 5m long is to be covered with square tiles of side 10cm. How many tiles will be used?​

Answers

Step-by-step explanation:

division is key (divide both areas)

change units to cm

300×500÷10×10=1500 tiles

Which of these graphs is a function?
PLEASE HELP
15 POINTS OR A BRAINLIST

Answers

A
A makes a line, B doesn’t

Have a great day!

Answer:

Graph B

Step-by-step explanation:

when identifying a function the point cannot fall on the same vertical line

what is angle dar in circle a

Answers

Answer:

end of course geometry - Virginia Department of Educationwww.doe.virginia.gov › sol › test10_eoc_geometry

PDF

angle B. A. Triangle A is similar to triangle B. Line AB is perpendicular to line CD. ... 27 What is in circle A ? A 17°. B 34°. C 56°. D 68°. B. R. D. A. 34

The angle measure of m∠DAR is 68°.

What is an Inscribed Angle?

An inscribed angle is the angle that an arc at any point on the circle subtends.

Given information:

A circle is centered at 'A'.

m∠RBD = 34°.

Arc RD is given.

To find the angle measure m∠DAR:

m∠DAR is inscribed in a circle.

m∠DAR can be described as m∠DAR  = m∠RBD

m∠DAR = 2 x 34°.

m∠DAR = 68°.

Therefore, m∠DAR = 68°.

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Yesenia needs to rent storage space for some of her belongings. She paid a one-time original storage fee
of $45.00, and now pays $18.00 each month (m). Which answer choice shows an expression that
represents the total amount Yesenia has paid after a certain number of months (m)?

Answers

Answer:

its 67

Step-by-step explanation:

Write the point-slope form of the equation of the line through the given point with the given slope. through: (5, -1), slope –6/5 ​

Answers

Answer:

Y = - 6/5 + 5

Step-by-step explanation:

Go to the point (5,-1) on a graph and use the slope to find the y-intercept (5 to the left, then 6 up)

WILL GIVE EXTRA POINTS
Assignment name: Segment Addition ​

Answers

Answer:

the measure of AB equals the measure of BC

2x+1=3x-4

4+1=3x-2x

5=x

BC=3x-4=3*5-4=15-4=11

AB=2x+1=2*5+1=10+1=11

AC=AB+BC=11+11=22

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

2x + 5 + 17 = 3x + 4

2x + 22 = 3x + 4

2x + 22 - 22 = 3x + 4 - 22

2x = 3x - 18

2x - 3x = 3x - 18 - 3x

-x = -18

-x / -1 = -18 / -1

x = 18

Hope this helps!

What is the slope of this line?

Answers

Answer:

The slope is -1

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

nice phone case

solve:
-3 ( -4x 1 ) = 13

Answers

Answer:

4/3            (assuming the (-4x 1) is (-4x+1))

Step-by-step explanation:

-3(-4x+1)=13

12x-3=13

12x=16

x=4/3

Answer:

x=4/3

Step-by-step explanation:

-3(-4x1)=13<=>12x-3=13 <=>12x=16 <=>x=4/3

WHOEVER HELPS ME WILL GET A BRAINLIEST!!

Answers

Answer:

question 9 is 8/3 or 2 2/3 question 10 is $18.39

Step-by-step explanation:

When solving the following system using elimination, which of the following will allow you to get opposites?

−4x−15y=−17
−x+5y=−13

Multiply the first equation by -1.


Multiply the first equation by -4.


Multiply the second equation by 4.


Multiply the second equation by -4.

Answers

Multiplying the second equation by -4 will give you +4x, which now allows you to eliminate the x variable and solve for y.

Evaculate this expression : | -8 |​

Answers

Answer:

Positive 8

Step-by-step explanation:

l -8 l has to be the opposite so its going to be 8! Pls mark brainiest!!

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