Question

Find the x-value and the y-value of the solution to this system of equations:

y = 2x + 42
y = -5x

Answer 1

The solution is (-6, 30)

Explanation:

Here we have two separate equations for y and are to find the solution (x, y).

y = 2x + 42

y = -5x

First, equate y = 2x + 42 and y = -5x:

2x + 42 = -5x

Combining like terms, we get

7x = -42, which results in x = -6

Since y = -5x, y = -5(-6), or y = 30, when x = -6.

The solution is (-6, 30)

Answer 2

x=-6

y=30

Explanation:

-5x =2x+42

x=-6

y=2(-6)+42

=30.