### Home > INT3 > Chapter 1 > Lesson 1.2.2 > Problem1-86

1-86.

Suppose you want to determine exactly where the lines $y = 2x -\frac { 7 } { 6 }$ and $y = 3 - 3x$ intersect. Use algebra to determine the point of intersection and be prepared to explain your method.

Set the equations equal to each other.

$2x-\frac{7}{6}=3-3x$

Combine like terms.

$5x=\frac{25}{6}$

Solve for $x$.

$x=\frac{5}{6}$

Use the value of $x$ to solve for the value of $y$.
Remember to rewrite the answer as a coordinate.