PLEASE HELPPPPPP!!!!!!Solve this system of linear equations separate the x-and y-values with a comma -13x=90-2y -6x=48-2y

Question

asked Jun 28, 2022 40.3k views

1 Answer

Ricky Spanish · Answer 1 · 2022-07-02T13:12:51+0000

Answer:

$x=-6,\\y=6$

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
:

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

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

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

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

Therefore, the solution to this system of equations is:

$x=-6,\\y=6$