Answer:
[tex]\left \{ {{x=0} \atop {y=2}} \right.[/tex]
Step-by-step explanation: [tex]\left \{ {{4x-y=-2} \atop {2x+y=2}} \right.[/tex]
Add the two equations
[tex]4x-y+(2x+y)=-2+2[/tex]
Remove parentheses
[tex]4x-y+2x+y=-2+2[/tex]
Cancel one variable
[tex]4x+2x=-2+2[/tex]
Apply the Inverse Property of Addition
[tex]4x+2x=0[/tex]
Combine like terms
[tex]6x=0[/tex]
Divide both sides by the equation by the coefficient of variable
[tex]x=0[/tex]
Substitute into one of the equations
[tex]2\times0+y=2[/tex]
Apply Zero Property of Multiplication
[tex]y=2[/tex]
The solution of the system is
[tex]\left \{ {{x=0} \atop {y=2}} \right.[/tex]
I hope this helps you
:)
