Answer:
x = -2
y = 3
Step-by-step explanation:
[tex]-4x-2y=2\\ -4x+y=11[/tex]
Subtract the two equations
[tex]-4x-2y-(-4x+y)=2-11[/tex]
Remove parentheses
[tex]-4x-2y+4x-y=2-11[/tex]
Cancel one variable
[tex]-2y-y=2-11[/tex]
Combine like terms
[tex]-3y=2-11[/tex]
Calculate the sum or difference
[tex]-3y=-9[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]y=\frac{-9}{-3}[/tex]
Determine the sign for multiplication or division
[tex]y=\frac{9}{3}[/tex]
Cross out the common factor
[tex]y=3[/tex]
Substitute into one of the equations
[tex]-4x+3=11[/tex]
Rearrange variables to the left side of the equation
[tex]-4x=11-3[/tex]
Calculate the sum or difference
[tex]-4x=8[/tex]
Divide both sides of the equation by the coefficient of variable
[tex]x=-\frac{8}{4}[/tex]
Cross out the common factor
[tex]x=-2[/tex]
The solution of the system is
[tex]x=-2\\ y=3[/tex]
I hope this helps you
:)
