Question

The two lines $y = 2x - 13$ and $3x+y = 92$ intersect. What is the value of $x$ at the point of intersection?

Answer 1

21

Explanation:

At the intersection of two lines, the x's are equal and the y's are equal. We may set 2x - 13 = 92 - 3x to find an x, where the y's are equal.

2x - 13 &= 92 - 3x

5x = 105

x =21