Question

How many solutions does the system have? y = -3 +93y = -9z + 9

Answer 1

We have the system of equations:

`\begin{gathered} y=-3x+9 \\ 3y=-9x+9 \end{gathered}`

To solve it, we plug the value of y from the first equation into the second equation, then:

`\begin{gathered} 3(-3x+9)=-9x+9 \\ -9x+27=-9x+9 \\ -9x+9x=-27+9 \\ 0=-18 \end{gathered}`

Since the last equation is a contradiction, the system of equations has no solotuion.