Question

PLEASE HELPPPPPP!!!!!!Solve this system of linear equations separate the x-and y-values with a comma

-13x=90-2y
-6x=48-2y

Answer 1

`x=-6,\\y=6`

Explanation:

Rewrite the system of equations as:

`\begin{cases}-13x+2y=90\\-6x+2y=48\end{cases}`

Subtract the second equation from the first to isolate
`x`:

`-13x+2y-(-6x+2y)=42,\\-7x=42, \\\fbox{$x=-6$}`

Plug in
`x=-6` into any of the equations above and solve for
`y`:

`-6(-6)+2y=48,\\2y=12,\\\fbox{$y=6$}`

Verify that the solution pair
`(-6, 6)` works
`\checkmark`

Therefore, the solution to this system of equations is:

`x=-6,\\y=6`