Question

-2/3x-7y=6x+3y=-9Solve each system of equations by graphing. Clearly identify your solution.

Answer 1

You have to graph the functions first.

If they intersect, they have a solution, if they do not intersect, then there is no solution for the equation system.

`\begin{gathered} -(2)/(3)x-7y=6 \\ x+3y=-9 \end{gathered}`

These equations intersect only onece at coordinates (-9,0), this is the only point that is true for both equations.

`\begin{gathered} -(2)/(3)x-7y=6 \\ -7y=6+(2)/(3)x \\ y=-(6)/(7)-(2)/(21)x \end{gathered}`
`\begin{gathered} x+3y=-9 \\ 3y=-9-x \\ y=-3-3x \end{gathered}`