Question

5x = 4y + 28

2y = 7x - 24
What is the x-value in the solution to the system?
(Show work pls)

Answer 1

x = 36

Explanation:

Rearrange the equations before solving simultaneously

4y = -5x - 28

2y = 7x - 24

now subtract

4y - 2y = 2y

5x - 7x = -2x

-28 - - 24 = -4

put these values together.

2y - 2x - 4.

2y = 2x + 4

y = 2x + 4 / 2

y = x + 2

substitute this into one of the 1st equations in the question.

5x = -4(x + 2) + 28

5x = -4x + 8 + 28

5x = -4x + 36

9x = 36

x = 4.