Question

At what value of x do the graphs of the equations below intersect
2x-y=6
5x+10y=-10

Answer 1

The graphs of the equations intersect at x=2

Explanation:

we have

`2x-y=6` ----> equation A

`5x+10y=-10` ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both lines

Using a graphing tool

The solution is the point (2,-2)

see the attached figure

therefore

The graphs of the equations intersect at x=2