91Ó°ÊÓ

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If \(a\) system has no solution, state this. Where appropriate, round to the nearest hundredth. $$ \begin{array}{r} {4 x-y=9} \\ {x-3 y=16} \end{array} $$

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(x-y=3\) \(2 x-3 y=-1\)

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} &x-4 y=3\\\ &2 x-6=8 y \end{aligned} $$

Solve each system graphically. Be sure to check your solution. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If \(a\) system has no solution, state this. Where appropriate, round to the nearest hundredth. $$ \begin{aligned} x &=y-1 \\ 2 x &=3 y \end{aligned} $$

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} y &=2 x+5 \\ -2 y &=-4 x-10 \end{aligned} $$

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(\begin{aligned} 2 w-3 z &=-1 \\\\-4 w+6 z &=5 \end{aligned}\)

Determine the zeros, if any, of each function. $$ f(x)=x-5 $$

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(7 p+5 q=2\) \(8 p-9 q=17\)

Etch Clean Graphics uses one cleanser that is \(25 \%\) acid and a second that is \(50 \%\) acid. How many liters of each should be mixed to get \(30 \mathrm{L}\) of a solution that is \(40 \%\) acid?

Determine the zeros, if any, of each function. $$ f(x)=x+3 $$