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

Solution:

We will use the substitution method to find the value of x.

2x - y = 6 --- equation(1)

y = 2x - 6 --- equation(2)

Substitute y = 2x - 6 in equation(2)

5x + 10(2x - 6) = -10

5x + 20x - 60 = -10

25x = 50

x = 2

Graphs of the equations 2x - y = 6; 5x + 10y = -10 below intersect at the point (2, -2)

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

Summary:

At x = 2, the graphs of the equations 2x - y = 6; 5x + 10y = -10 below intersect at the point (2, -2).

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