91Ó°ÊÓ

Solve by graphing. $$\begin{aligned} &5 x-2 y=10\\\ &3 x+2 y=6 \end{aligned}$$ (THE GRAPH CANNOT COPY)

Solve by using a graphing calculator. $$\begin{aligned} &3 x+2 y=11\\\ &7 x-6 y=13 \end{aligned}$$

Solve by the addition method. $$\begin{aligned} &5 x-3 y=3 y+4\\\ &4 x+3 y=11 \end{aligned}$$

Solve by graphing. $$\begin{aligned} &3 x+4 y=0\\\ &2 x-5 y=0 \end{aligned}$$ (THE GRAPH CANNOT COPY)

Assume that \(A, B\), and \(C\) are nonzero real numbers. State whether the system of equations is independent, inconsistent, or dependent. $$\begin{aligned}x+y &=B \\\y &=-x+C, C \neq B\end{aligned}$$

Solve by using a graphing calculator. $$\begin{aligned} &x=3 y+2\\\ &y=4 x-2 \end{aligned}$$

Use the system of equations at the right, which represents the following situation. Owen Marshall divides an investment of \(\$ 10,000\) between two simple interest accounts. One account earns \(8 \%\) annual simple interest, and the second account earns \(6.5 \%\) annual simple interest. $$\begin{aligned}x+y &=10,000 \\\0.08 x+0.065 y &=710\end{aligned}$$ What do the variables \(x\) and \(y\) represent? Explain the meaning of each equation in terms of the problem situation.

Assume that \(A, B,\) and \(C\) are nonzero real numbers, where \(A \neq B \neq C .\) State whether the system of equations is independent, inconsistent, or dependent. $$\begin{array}{r} A x+B y=C \\ 2 A x+2 B y=2 C \end{array}$$

Solve by using a graphing calculator. $$\begin{aligned} &x=2 y-5\\\ &x=3 y+2 \end{aligned}$$

Assume that \(A, B,\) and \(C\) are nonzero real numbers, where \(A \neq B \neq C .\) State whether the system of equations is independent, inconsistent, or dependent. $$\begin{array}{c} x-A y=B \\ 3 x-3 A y=3 C \end{array}$$