Question

Solve the system: y = 12 + 4x y = -33 - 5x

Answer 1

The equation system is:

`\begin{gathered} y=12+4x \\ y=-33-5x \end{gathered}`

So we can made the equation equal so:

`\begin{gathered} 12+4x=-33-5x \\ 4x+5x=-33-12 \\ 9x=-45 \\ x=-(45)/(9) \\ x=-5 \end{gathered}`

Now we can replace the value of x to find y in the first equation so:

`\begin{gathered} y=12+4(-5) \\ y=12-20 \\ y=-8 \end{gathered}`

so the solution is:

`(-5,-8)`