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

2x - y = 6

5x + 10y = - 10

x=___?

2x-y=6

simplifying the second equation gives;

x+2y=-2

Multiplying equation II by 2 gives;

2x+4y=-4

2x-y=6

Subtracting the equations;

5y=-10

y=-2

replacing in first equation;

2x+2=6

2x=4

x=2