CPM Homework Help : AC Problem 7-107

Find the point of intersection of the system of linear equations below.

$\begin{aligned}[t] 8 - 3x = y \\ 2y + 3x = 5 \end{aligned}$

Hint 1:

Rearrange the top equation so that it matches the form of the bottom equation.
$\begin{aligned}[t] -y - 3x &= -8 \\ 2y + 3x &= 5 \end{aligned}$

Hint 2:

Solve the system of equations by eliminating the $x\text{'s}$ .
$y=-3$

Hint 3:

Now substitute the value for $y$ back into one of the original equations to solve for $x$ .

Answer:

$\left(\frac{11}{3},-3\right)$