91Ó°ÊÓ

Can a system of linear equations have exactly two solutions? Explain why or why not.

If you are solving a break-ven and get a negative break- explain what this signifies for the company?

If you are solving a break-even analysis and there is no break-even point, explain what this means for the company. How should they ensure there is a break-even point?

For the following exercises, determine whether the given ordered pair is a solution to the system of equations. $$ \begin{array}{l}{5 x-y=4} \\ {x+6 y=2}\end{array} \text { and }(4,0) $$

For the following exercises, determine whether the given ordered pair is a solution to the system of equations. $$ \begin{array}{l}{-3 x-5 y=13} \\ {-x+4 y=10}\end{array} \text { and }(-6,1) $$

For the following exercises, determine whether the given ordered pair is a solution to the system of equations. $$ \begin{array}{l}{3 x+7 y=1} \\ {2 x+4 y=0}\end{array} \text { and }(2,3) $$

For the following exercises, determine whether the given ordered pair is a solution to the system of equations. $$ \begin{aligned}-2 x+5 y &=7 \\ 2 x+9 y &=7 \end{aligned} \text { and }(-1,1) $$

For the following exercises, determine whether the given ordered pair is a solution to the system of equations. $$ \begin{array}{l}{x+8 y=43} \\ {3 x-2 y=-1}\end{array} \text { and }(3,5) $$

For the following exercises, solve each system by substitution. $$ \begin{aligned} x+3 y &=5 \\ 2 x+3 y &=4 \end{aligned} $$

For the following exercises, solve each system by substitution. $$ \begin{array}{l}{3 x-2 y=18} \\ {5 x+10 y=-10}\end{array} $$