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23 votes
What is the solution to the system of equations2x + 3y = 40andy=x + 10?

A
x = 2; y = 12
B
x = 4; y = 14
C x = 12; y = 2
D x = 14; y = 4

2 Answers

8 votes

A is the correct answer is the correcta answer

If you plug y=x+10 in for the Y variable you just have to solve by multiplying.

1.) It should look like this:

2x + 3(x +10) = 40

2.) You will distribute the three which will make the equation look like this:

2x + 3x + 30 = 40

3.) Add like terms. Then subtract 30 from both sides. Then divide 5 by both sides to get the variable x alone.

User Giulio Micheloni
by
5.1k points
3 votes

Answer:

A is the correct answer

Explanation:

If you plug y=x+10 in for the Y variable you just have to solve by multiplying.

1.) It should look like this:

2x + 3(x +10) = 40

2.) You will distribute the three which will make the equation look like this:

2x + 3x + 30 = 40

3.) Add like terms. Then subtract 30 from both sides. Then divide 5 by both sides to get the variable x alone.

Hope that helps

User Richard Ambler
by
4.4k points