# Systems of Equations

Complete the test and get an award.

Problem #1
$\begin{cases} 2x+y=8 \\ x+2y=16 \end{cases}$
Find $x-y=?$

Problem #2
$\begin{cases} 2x+3y=1 \\ mx+ny=5 \end{cases}$ doesn't have any solutions. Find $m$ and $n$.

Problem #3
$\begin{cases} -2x+y=1 \\ x-2y=1 \end{cases}$
Find the solution to the system?

Problem #4
$\begin{cases} -10x+my=3 \\ nx+14y=-6 \end{cases}$
The system have infinite solutions. Find $m$ and $n$.

Problem #5
$\begin{cases} 5x+y=-5 \\ x+4y=-1\end{cases}$ Find $x+y=?$

Problem #6
$\begin{cases} -2x+y=6 \\ x+y=6 \end{cases}$ Find $x$ and $y$?

Problem #7
Which system is graphed?

Problem #8
$x=1, y=3$ are the solution to the system
$\begin{cases} 2mx+ny=5 \\ -mx+ny=2 \end{cases}$. Find $m+n=?$

Problem #9
What is the solution to the system $\begin{cases} 5y-x=10 \\ y-\frac{1}{2}x=5 \end{cases}$?

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