91Ó°ÊÓ

Solve each system of equations by addition-subtraction, or by substitution. Check some by graphing. $$\begin{aligned} &5 x-2 y=3\\\ &2 x+3 y=5 \end{aligned}$$

Solve for \(x\) and \(y\) in terms of the other literal quantities. $$\begin{aligned} &m x+3 n y=2\\\ &2 m x+n y=1 \end{aligned}$$

Solve for \(x\) and \(y\) in terms of the other literal quantities. $$\begin{aligned} &2 p x+3 q y=3\\\ &3 p x+2 q y=4 \end{aligned}$$

Solve each system of equations by addition-subtraction, or by substitution. Check some by graphing. $$\begin{aligned} &y=9-3 x\\\ &x=8-2 y \end{aligned}$$

When writing Kirchhoff's voltage law for a certain three-loop network, we get the set of equations $$\begin{aligned}3 I_{1}+2 I_{2}-4 I_{3} &=4 \\\I_{1}-3 I_{2}+2 I_{3} &=-5 \\\2 I_{1}+I_{2}-I_{3} &=3\end{aligned}$$ where \(I_{1}, I_{2},\) and \(I_{3}\) are the loop currents in amperes. Solve for these currents.

Solve for \(x\) and \(y\) in terms of the other literal quantities. $$\begin{array}{l} 7 c x+3 d y=5 \\ 2 c x+8 d y=6 \end{array}$$

Solve each system of equations by addition-subtraction, or by substitution. Check some by graphing. $$\begin{aligned} &y=2 x-3\\\ &x=19-3 y \end{aligned}$$

Solve each system of equations by addition-subtraction, or by substitution. Check some by graphing. $$\begin{aligned} &2 x+3 y=9\\\ &5 x+4 y=5 \end{aligned}$$

Solve for \(x\) and \(y\) in terms of the other literal quantities. $$\begin{aligned} &3 x-2 y=a\\\ &2 x+y=b \end{aligned}$$

Solve for \(x\) and \(y\) in terms of the other literal quantities. $$\begin{aligned} &a x+b y=r\\\ &a x+c y=s \end{aligned}$$