CPM Homework Help : INT3 Problem 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.

Step 1:

Set the equations equal to each other.

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

Step 2:

Combine like terms.

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

Step 3:

Solve for $x$ .

Partial Answer:

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

Hint:

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