Solve the system of linear equations by multiplying.
{−2x + 2y =4
{−4x + 8y =24

Answers

Answer 1

Answer:

The solution set is (2,4).

Step-by-step explanation:

Given that:

−2x + 2y =4         Eqn 1

−4x + 8y =24      Eqn 2

Multiplying Eqn 1 by -2

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

4x-4y= -8     Eqn 3

Adding Eqn 2 and 3

(-4x+8y)+(4x-4y)=24-8

-4x+8y+4x-4y=16

4y=16

Dividing both sides by 4

[tex]\frac{4y}{4}=\frac{16}{4}\\y=4[/tex]

Putting y=4 in Eqn 1

-2x+2(4)=4

-2x+8=4

-2x=4-8

-2x=-4

Dividing both sides by -2

[tex]\frac{-2x}{-2}=\frac{-4}{-2}\\x=2[/tex]

Hence,

The solution set is (2,4).


Related Questions

Josue is at the Falls Church foot football game and wants to buy bags of tacos for his friends and $2 for himself. If each bag of tacos costs $3 and he has $26 to spend, how many bags can he buy?

Answers

ig 8 bags


explanation

What does x = answer choices
4
16
9

Answers

Answer:

16

Step-by-step explanation:

x=16 because the Sides length and the degrees of the angle colide and show that x=16

2 3 + 6^{2} ÷ 9 i need help with this one

Answers

Answer: 7

Step-by-step explanation:

3+6^(2) / 9

3 + 36 / 9

3   +   4

    7

To find the possibilities of side lengths for the third side of the triangle, I must subtract the two sides to find the higher range and I must add the two sides to find the lower range.
True

False

Answers

Answer:

false

Step-by-step explanation:

I'm not sure how to answer this. How you need to do is take the two smaller sides and add them. If they are greater than the largest side, you can make a triangle.

I would say that the statement is false. If you subtract, you could get a minus number, and that would be an absurd result.

Is the following a function? Each player’s jersey number paired with their age.

Answers

Answer:

Yes it is a function if the jersey numbers are the same as their age and they are all different ages.

Step-by-step explanation:

can someone please help me

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

9n = [tex]\frac{15}{7}[/tex] - 2 ( multiply through by 7 to clear the fraction )

63n = 15 - 14 = 1 ( divide both sides by 63 )

n = [tex]\frac{1}{63}[/tex]

(b)

[tex]\frac{1}{3}[/tex] = k - 4 ( multiply through by 3 to clear the fraction )

1 = 3k - 12 ( add 12 to both sides )

13 = 3k ( divide both sides by 3 )

[tex]\frac{13}{3}[/tex] = k

(c)

g - [tex]\frac{2}{5}[/tex] g = 3 ( multiply through by 5 to clear the fraction )

5g - 2g = 15

3g = 15 ( divide both sides by 3 )

g = 5

(d)

[tex]\frac{3}{7}[/tex] w + 2w = 3 ( multiply through by 7 to clear the fraction )

3w + 14w = 21

17w = 21 ( divide both sides by 17 )

w = [tex]\frac{21}{17}[/tex]

Plz help I’m getting timed

Answers

Answer:

10

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Answer:

10 meters

Step-by-step explanation:

You can count each unit since each unit equals 1 meter

Find the equivalent equation that does not contain fractions 2/3 x 7=1/2

Answers

Answer:

[tex]4x + 42 = 3[/tex]

Step-by-step explanation:

Given:

[tex]\frac{2}{3}x + 7 = \frac{1}{2}[/tex]

Required

Equivalent expression without fraction

To do this, we simply multiply through by a common multiple of the denominators in the expression.

The denominators are 2 and 3

[tex]2 = 2,4,6,8,10,..[/tex]

[tex]3 = 3,6,9,12..[/tex]

So, 6 is the least common multiple.

Multiply both sides by 6

[tex]6 * (\frac{2}{3}x + 7) = \frac{1}{2} * 6[/tex]

[tex]6 *\frac{2}{3}x + 6*7 = \frac{1}{2} * 6[/tex]

[tex]\frac{12}{3}x + 42 = \frac{6}{2}[/tex]

[tex]4x + 42 = 3[/tex]

Hence, an equivalent expression.

Frederick uses his metal detector to search for coins on the beach. He has found both newer and antique coins. He has found 24 newer coins over the past year, witch is 75% of all the coins he has found. What is the total number of coins he has found?

Answers

Answer:

32 coin in all

Step-by-step explanation:

Step one:

given data

let the total coins be x

we are given that 75% of x= 24

Step two:

Mathematically we have

75/100*x= 24

0.75x=24

divide both sides by 0.75

x=24/0.75

x=32coins

Hence the total coins is 32

Hot dogs come packed 10 in a package. Hot dog buns come packed 8 in a package.



If we want one hot dog for each bun for a picnic, with none left over, what is the least amount of each we need to buy?



How many packages of each item would we have to buy?

Answers

Answer:

5 hot dogs packs at least and 4 buns packs at least

Step-by-step explanation:

4. A formula used for calculating velocity is v=1/2at^2

Answers

Step-by-step explanation:

You're sure?

But I thought that for calculating distance

Write a recursive formula for the following arithmetic sequence.

-6, -9, -12, -15, ...

Answers

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3

Step-by-step explanation:

The recursive formula lets us find a term in the sequence by adding the common difference d to the previous term.

Here d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 with a₁ = - 6

Baxter Tree Service charges $42 per tree to trim them, and an additional $75.50 to remove the trimmings from the property. His competitor, Barron and Son, charges $37 per tree to trim them but charges $95.50 to remove trimmings. How many trees, t, must be trimmed to make the two companies cost the same amount?

Answers

Answer:

[tex]t = 4[/tex]

Step-by-step explanation:

Baxter Tree Service:

Per tree trimming charges = $42

Additional charges for removing the trimmings from the property = $75.50

Number of trees trimmed = [tex]t[/tex]

Total charges = Additional charges + cost of trimming [tex]t[/tex] trees

Total charges = $75.50 + $42[tex]t[/tex]

Barron and Son:

Per tree trimming charges = $37

Additional charges for removing the trimmings from the property = $95.50

Number of trees trimmed = [tex]t[/tex]

Total charges = Additional charges + cost of trimming [tex]t[/tex] trees

Total charges = $95.50 + $37[tex]t[/tex]

Now, the total charges need to be same and we have to find the value of [tex]t[/tex].

[tex]75.50+42t = 95.50+37t\\\Rightarrow 42t-37t=95.50-75.50\\\Rightarrow 5t=20\\\Rightarrow \bold{t =4}[/tex]

[tex]t = 4[/tex] number of trees must be trimmed.

what’s 6/7 - 1/2? also how do i subtract fractions with unlike denominators? you don’t have to answer the 2nd question

Answers

Make this same denominator
6/7 * 2/2 = 12/14
1/2 * 7/7 = 7/14
Now subtract
12/14 - 7/14 = 5/14

6/7 - 1/2 equals 5/14.

Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.

To subtract fractions with unlike denominators, you need to find a common denominator for both fractions. The common denominator is the least common multiple (LCM) of the denominators. Once you have the common denominator, you can subtract the fractions by following these steps:

Find the LCM of the denominators: In this case, the denominators are 7 and 2. The LCM of 7 and 2 is 14.

Rewrite the fractions with the common denominator: To rewrite 6/7 and 1/2 with a common denominator of 14, you need to multiply both the numerator and denominator of each fraction by a suitable factor. For 6/7, you would multiply both numerator and denominator by 2 to get 12/14. For 1/2, you would multiply both numerator and denominator by 7 to get 7/14.

Subtract the fractions: Now that the fractions have the same denominator, you can subtract them by subtracting the numerators while keeping the common denominator. In this case, subtracting 7/14 from 12/14 gives you 5/14.

Therefore, 6/7 - 1/2 equals 5/14.

For more details of Subtract the fractions:

https://brainly.com/question/5220474

#SPJ6

1. Find the percent of the given quantity using any method: 40% of 320

Answers

Answer:

128

Step-by-step explanation

Turn 40% into a decimal by placing a decimal point 2 places to the left making it 0.40. Then, calculate using 320 multiplied by 0.40 which is 128.

Answer:

the answer is 128.

40% of 320 = 128 :)

BRAINLIEST !!! 14. Find the length of the midsegment (NOT X)
88+40
16x
7

Answers

Answer:

Step-by-step explanation:

The length of the midsegment is  half of the base in this case.

12x = 8x + 40

4x=40

x=10

So it's 60

Answer:

60

Step-by-step explanation:

There are 12 books on a shelf. 7of these books are new.
(a) What is the ratio of new books to used books?
(b) What is the ratio of all books to used books?

Answers

Answer:

(a) 7 : 5

(b) 19 : 5

Hope this helps :)

Answer:

(a) 5:7 ( 5 new to 7 used). (B) 12:7   (12 books to 7 used ones). You are welcome :)

Step-by-step explanation:

Find the equation of a line that passes through (1,12) and is parallel to the graph of y=3x+3 Write the equation in​ slope-intercept form, if possible.

Answers

Answer:

The equation of the parallel line is

y = 3x + 9

Step-by-step explanation:

The general equation of a straight line is given as;

y = mx + c

where m is the slope and c is the intercept

If two lines are parallel, their slopes are equal

So the slope of the new line too is 3

Using the point-slope formula

y-y1 = m(x-x1)

y-12 = 3(x-1)

y-12 = 3x-3

y = 3x-3 + 12

y = 3x + 9

Can you find the solution Im so confused

Answers

i think it’s footnotes , the first letter of each number

Bobby and Gautham each save the same amount of money from each lawn they mow. What must be true for Gautham to have more money than Bobby after they have each mowed 18 lawns?

Answers

Answer:

I don't have any favorites. There is a reason for this, i don't read a lot of books but when i do, i usually like a mashup of different types of text styles. I guess i do have a favorite of a mashup. When i do read i usually pick a book that has an argument between different characters, a type of fiction memoir? And autobiography.

This mashup usually leads up to Wonder which is one of my all-time favorites. But there is another one i like and it is Diary of a Wimpy Kid. The only thing about that one is that doesn't have the whole autobiography part.

I like these styles because most of the books that i read have either funny traits or intense traits which, i love both of them.

Step-by-step explanation:

Write down the inequality described by "half of x is no more than three", and solve for x.

Answers

Answer:

Inequality: [tex]\frac{x}{2} \leq 3[/tex]

Solved: [tex]x\leq 6[/tex]

Step-by-step explanation:

[tex]\frac{x}{2} \leq 3[/tex]

[tex]x\leq 6[/tex]

evaluate (log) PLS HELP ASAP!!!! thank you!!! *will give brainliest*

Answers

Answer:

-3 ( D )

Step-by-step explanation:

Logarithm base 3 of 1/27 is -3.

Given f(x) = x^2 + 1 with domain: {-2, -1, 0, 1, 3}. What is the range, R?
a) {-1, -2, 0, 1, 3}
b) {4, 1, 0, 1, 9}
c) {5, 2, 1, 2, 10}
d) {3, 0, -1, 0, 8}

Answers

Maybe A yep I’m thinking A

Mark and his friends order two pizzas of the same size .•The first pizza is cut into 6 slices of equal size .•The second pizza is cut into 4 slices of equal size. Each person plans to take 2 slices of pizza. Mark concludes that he would get more pizza by taking 1 slice from each pizza, instead of 2 slices from the first pizza. Explain why Mark is correct. Be sure to include a number comparison by using > or < in you explanation.

Answers

Mark is correct because taking a slice from each pizza would be 3/6 or 1/2 of the pizza but taking two slices of the first pizza, Mark wouldn't get as much because that is the same as 2/6 or 1/3 of the pizza. 1/2 > 1/3 therefore Marks conclusion is correct.

Meg the Stallion placed 8 books on each shelf of a bookcase. If she shelves 32 books. How many shelves are needed?

Answers

Answer:

Meg thee Stallion would need to borrow 4 shelves from Cardi B

Answer:

4 shelves

Step-by-step explanation:

you can do 32 divided by 8 which gives you 4 or keep adding 8 until you get 32 and count how many times you had to add.

Expand 4(-2y + 3).

-8y + 12
2y + 7
-8y + 3
2y + 12

Random Math because I'm too lazy time ¯\_(ツ)_/¯

Answers

-8y+12 you just multiply the 4 by the others

Luke cut down a tree that was 25.8 feet tall. Then he cut the tree into 6 equal pieces to take it away.

What is the length of each piece?

Answers

Answer:

the length of each piece is 4.8 feet

Step-by-step explanation:

I NEED HELP!!!!
A sports team has won 21 out of the 40 games it has played. About what percent of games has the team won?

Answers

Answer:

About 50% percent

Step-by-step explanation:

20 is 50 percent of 40, so 21 is about 50 percent (52.5 %)

~theLocoCoco

Answer:

52.5%

Step-by-step explanation:

21/40 = 52.5/100

52.5/100= 52.5%

im not sure but you can try :<

branlieeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeest

Answers

Answer:

A

You  are looking for points on the x-y plane which satisfy the equation y = 5/2x + 3/2, and these point are all those that lie on the graph of the equation which are points (x,y) = (x, 5/2x + 3/2)

If you are looking at the other choices you could see that B only gives you 3 points and even if they are on the graph of y the choice cannot be the answer

D is the same like B

Choice C is just the whole of x-y plane  so this cannot be the answer because not every point on the x-y plane is a Solution to y=5/2x+3/2

Six increased by 1-3 of a number is 11 . Find the number

Answers

Answer:

7 is the answer

Step-by-step explanation:

6 + 1 - 3 of a number = 11

1 - 3 = -2

6 - 2 = 4

so 4 + 7 is 11

Hope it helps!

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