At what value of x do the graphs of the equations below intersect? 2x − y = 6

5x + 10y = −10

x = 2

Step-by-step explanation:

Given the 2 equations

2x - y = 6 → (1)

5x + 10y = - 10 → (2)

Multiplying (1) by 10 and adding to (2) eliminates the y- term.

20x - 10y = 60 → (3)

Add (2) and (3) term by term to eliminate y, that is

25x = 50 ( divide both sides by 25 )

x = 2

The value of x at the point of intersection is x = 2