Question

Solve the system of equationsy = 3x - 1y = x-5

Answer 1

x=-2, y=-7

Step-by-step explanation:

Given the two equations below:

`\begin{gathered} y=3x-1 \\ y=x-5 \end{gathered}`

Substituting y=x-5 into the first equation, we have:

`x-5=3x-1`

We solve for x.

`\begin{gathered} 3x-x=-5+1 \\ 2x=-4 \\ x=-(4)/(2) \\ x=-2 \end{gathered}`

Recall that: y=x-5, therefore:

`\begin{gathered} y=-2-5 \\ y=-7 \end{gathered}`

The solutions are: x=-2, y=-7