algebra

4x+y=1

y=1-4x

6x+2y= -2

6x+2*(1-4x)= -2

6x+2-8x= -2

6x-8x= -2-2

-2x= -4 Divide with -2

x= -4/-2

x=2

y=1-4x

y=1-4*2

y=1-8

y= -7

Proof:

6x+2y= -2

6*2+2*(-7)= -2

12+(-14)= -2

12-14= -2

-2= -2

4x+y=1

4*2+(-7)=1

8-7=1

1=1