Question

Solve by using substitution y=2x+3, 10x+2y=20

Answer 1

x = 1

y = 5

Explanation:

10x + 2y = 20

y = 2x + 3

10x + 2(2x + 3) = 20

10x + 4x + 6 = 20

14x + 6 = 20

14x = 14

x = 1

Now we put 1 in for x and solve for y

10(1) + 2y = 20

10 + 2y = 20

2y = 10

y = 5

Let's Check the answer.

10(1) + 2(5) = 20

10 + 10 = 20

20 = 20

So, x = 1 and y = 5 is the correct answer.