Question

At what value of x do the graphs of the equations below intersect?

-2x +y = -6
1x + 2y = -2
They intersect at an x value of

Answer 1

They intersect at an x value of 2

Explanation:

Rewrite the equations into slope y-int form:

-2x + y = -6

y = 2x - 6

x + 2y = -2

2y = -2 - x

y = -1/2x - 1

Next, set the two equations as equal and solve for x:

2x - 6 = -1/2x - 1

2x + 1/2x = -1 + 6

4x + x = -2 + 12

5x = 10

x = 2