CPM Homework Help : CC3 Problem 7-10

Find the solution for each system of equations below, if a solution exists. If there is not a single solution, explain why not. Be sure to check your solution, if possible.

$\begin{aligned}[t] &x + 4y = 2 \\ &x+ 4y = 10 \end{aligned}$
Hint (a)
Since $x$ represents the same number in the first equation as it does in the second, as does $y$ , and the same operations are being carried out, the equations would have to equal the same number.
Answer (a)
No solution

$\begin{aligned}[t] &2x + 4y = -10 \\ &x+2y= - 5 \end{aligned}$
Hint (b)
Can you multiply both sides of the second equation by anything to get the first? If so, the equations will be the same.