91Ó°ÊÓ

Use Cramer's rule to solve each system of equations. If \(D=0,\) use another method to complete the solution. $$\begin{array}{r}x+y=4 \\\2 x-y=2\end{array}$$

The perimeter of a triangle is 59 inches. The longest side is 11 inches longer than the medium side, and the medium side is 3 inches more than the shortest side. Find the length of each side.

Solve each system. Round to the nearest thousandth. $$\begin{aligned} 3 x-13 y &=17 \\ -23 x+15 y &=2 \end{aligned}$$

Draw a sketch of the two graphs described with the indicated number of points of intersection. A line and a parabola; two points

Find each matrix product if possible. $$\left[\begin{array}{rrr}-6 & 3 & 5 \\ 2 & 9 & 1\end{array}\right]\left[\begin{array}{r}-2 \\ 0 \\ 3\end{array}\right]$$

Graph the solution set of each system of inequalities by hand. $$\begin{aligned}x-y &<1 \\\\-1

Use Cramer's rule to solve each system of equations. If \(D=0,\) use another method to complete the solution. $$\begin{aligned}&3 x+2 y=-4\\\&2 x-y=-5\end{aligned}$$

Solve each system. Round to the nearest thousandth. $$\begin{array}{l} 2.1 x+0.5 y+1.7 z=4.9 \\ -2 x+1.5 y-1.7 z=3.1 \\ 5.8 x-4.6 y+0.8 z=9.3 \end{array}$$

Graph the solution set of each system of inequalities by hand. $$\begin{array}{r}x+y \leq 36 \\\\-4 \leq x \leq 4\end{array}$$

Use Cramer's rule to solve each system of equations. If \(D=0,\) use another method to complete the solution. $$\begin{aligned}&4 x+3 y=-7\\\&2 x+3 y=-11\end{aligned}$$