ANSWER
The solution is (1,-3)
EXPLANATION
The system of Equations are;
[tex]x=4+y[/tex]
and
[tex]-10x+6y=-28[/tex]
We substitute the first equation into the second equation to get:
[tex]-10(4 + y)+6y=-28[/tex]
We expand the parenthesis to get:
[tex]-40 - 10y+6y=-28[/tex]
Group similar terms to get:
[tex]- 10y+6y=-28 + 40[/tex]
Simplify the similar terms to get;
[tex] - 4y = 12[/tex]
Divide both sides -4.
[tex]y = \frac{12}{ - 4} [/tex]
[tex]y = - 3[/tex]
We put y=-3 into the first equation to get:
[tex]x = 4 + - 3 = 1[/tex]
Therefore the solution is (1,-3)
