91Ó°ÊÓ

Solve each system of inequalities by graphing.

$\begin{array}{c}x>2\\ y<4\end{array}$

Use substitution to solve each system of equations.

$\begin{array}{l}\mathbf{y}\mathbf{=}\mathbf{5}\mathbf{x}\mathbf{−}\mathbf{3}\\ \mathbf{x}\mathbf{+}\mathbf{2}\mathbf{y}\mathbf{=}\mathbf{27}\end{array}$

Use substitution to solve each system of equations.

$\begin{array}{l}\mathbf{x}\mathbf{+}\mathbf{3}\mathbf{y}\mathbf{=}\mathbf{9}\\ \mathbf{x}\mathbf{+}\mathbf{y}\mathbf{=}\mathbf{1}\end{array}$

Solve each system of inequalities by graphing.

$$\begin{gathered} x+y≤5 \\ yâ‰\yen x+2 \end{gathered}$$

Solve each system of inequalities by graphing.

$$\begin{gathered} 3x−y>9 \\ y>−2x \end{gathered}$$

The perimeter of a rectangle is 48 inches. The length is 6 inches greater than the width. Define the variables, and write equations to represent this situation. Solve the system by using substitution.

Use elimination to solve each system of equations.

$\begin{array}{l}\mathbf{x}\mathbf{+}\mathbf{y}\mathbf{=}\mathbf{13}\\ \mathbf{x}\mathbf{−}\mathbf{y}\mathbf{=}\mathbf{5}\end{array}$

Solve each system of inequalities by graphing.

$$\begin{gathered} yâ‰\yen 2x+3 \\ −4x−3y>12 \end{gathered}$$

Use elimination to solve each system of equations.

$\begin{array}{l}\mathbf{−}\mathbf{3}\mathbf{x}\mathbf{+}\mathbf{4}\mathbf{y}\mathbf{=}\mathbf{21}\\ \mathbf{3}\mathbf{x}\mathbf{+}\mathbf{3}\mathbf{y}\mathbf{=}\mathbf{14}\end{array}$

Use elimination to solve each system of equations.

$\begin{array}{l}\mathbf{x}\mathbf{+}\mathbf{4}\mathbf{y}\mathbf{=}\mathbf{−}\mathbf{4}\\ \mathbf{x}\mathbf{+}\mathbf{10}\mathbf{y}\mathbf{=}\mathbf{−}\mathbf{16}\end{array}$