Question

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

Answer 1

The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:

2x - y = 6
y = 2x - 6

We substitute the equation above to the second equation.

5x + 10y = –10
5x + 10( 2x - 6 )= –10

Simplifying, 

5x + 20x - 60 = -10
25x = 50
x = 2

Therefore, the intersection has the value of x equal to 2.

Answer 2

c (2) is the value in where the equations intersect