CPM Homework Help : CCG Problem 6-36

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6-36.

Solve the systems of equations below using any method, if possible. Show all work and check your solution. If there is no solution, explain why not.

$\begin{aligned}[t] y = 2x + 8 \quad \; \; \; \\ 3x + 2y = -12 \end{aligned}$
Hint (a):
Use the Substitution Method. Remember to check your answer.
Answer (a):
$x=−4$ , $y=0$

$\begin{aligned}[t] 2x - 5y = 4 \; \; \\ 5y - 2x = 10 \end{aligned}$
Hint (b):
Use the Elimination Method.
Step (b):
$\array{2x-5y=4\\ -2x+5y=10\\ \hline 0+0=14}\\ \qquad \quad \ 0\ne14$
Answer (b):
No solution, the lines are parallel.

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