# Simultaneous Equations

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Question 1
$$-2x+y=6$$
$$x+y=6$$
Find $$x$$ and $$y$$.

Question 2
$$2x+y=8$$
$$x+2y=16$$

Find $$x-y=?$$

Question 3
What is the solution to the system
$$5y-x=10$$
$$y-\frac{1}{2}x=5$$

Question 4
$$\begin{cases} 2x+3y=1 \\ mx+ny=5 \end{cases}$$ doesn't have any solutions. Find $$m$$ and $$n$$.

Question 5
$$-2x+y=1$$
$$x-2y=1$$
Find the solution to the system?

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

Question 7
$$5x+y=-5$$
$$x+4y=-1$$

Find $$x+y=?$$

Question 8
Which of the following equations are graphed?

Question 9
$$x=1, y=3$$ are the solution to the equations.
$$2mx+ny=5$$
$$-mx+ny=2$$

Find $$m+n=?$$

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