CPM Homework Help : CCG Problem 9-11

Solve each system of equations below. Write your solution in the form $(x, y)$ . Check your solution.

$\begin{aligned}[t] 3x - y = 14\\ x = 2y + 8 \; \; \end{aligned}$
Hint (a):
Use substitution to solve for both variables.
Answer (a):
$\left(4,-2\right)$

$\begin{aligned}[t] x = 2y + 2 \; \; \;\\ x = -y -10 \end{aligned}$
Hint (b):
Set the two equations equal to each other.

$\begin{aligned}[t] 16x - y = -4\\ 2x + y = 13 \; \; \, \end{aligned}$
Hint (c):
Use elimination to solve for the two variables.
Answer (c):
$\left(\frac{1}{2},12\right)$