91Ó°ÊÓ

Solve each system by the substitution method. Check each solution. $$ \begin{array}{c} \frac{1}{6} x+\frac{1}{6} y=1 \\ -\frac{1}{2} x-\frac{1}{3} y=-5 \end{array} $$

Find the midpoint of each segment with the given endpoints. (4,-3) and (-1,3)

Solve each system by the elimination method. Check each solution. $$ \begin{array}{l} 2 x+3 y=21 \\ 5 x-2 y=-14 \end{array} $$

For each equation, (a) write it in slope-intercept form, (b) give the slope of the line, (c) give the y-intercept, and (d) graph the line. \(-x+y=6\)

Solve each system by graphing. If the system is inconsistent or the equations are dependent, say so. \(2 x-y=4\) \(4 x+y=2\)

A truck radiator holds 36 L of fluid. How much pure antifreeze must be added to a mixture that is \(4 \%\) antifreeze to fill the radiator with a mixture that is \(20 \%\) antifreeze?

Find the midpoint of each segment with the given endpoints. (2.5,3.1) and (1.7,-1.3)

How many pounds of candy that sells for \(\$ 1.75\) per lb must be mixed with candy that sells for \(\$ 1.25\) per \(\mathrm{lb}\) to obtain \(10 \mathrm{lb}\) of a mixture that should sell for \(\$ 1.60\) per lb?

Solve each system by the elimination method. Check each solution. $$ \begin{array}{r} 5 x-4 y=15 \\ -3 x+6 y=-9 \end{array} $$

Solve each system by the substitution method. Check each solution. $$ \begin{aligned} \frac{x}{5}+2 y &=\frac{8}{5} \\ \frac{3 x}{5}+\frac{y}{2} &=-\frac{7}{10} \end{aligned} $$