Solve the system of equations using any method. 6x + 4y = −8 4x − 2y = 2

Hi there!
Let's us Substitution, as it appears to be the easiest one. We can solve the second equation for y. 
[tex]4x - 2y = 2[/tex]
[tex]-2y=-4x+2[/tex]
[tex]y=2x-1[/tex]
Now that we have found the expression for y, we can substitute it back into the first equation. 
[tex]6x + 4y = -8 [/tex]
[tex]6x+4(2x-1)=-8[/tex]
Next, just solve for x. 
[tex]6x+4(2x-1)=-8[/tex]
[tex]6x+8x-4=-8[/tex]
[tex]14x-4=-8[/tex]
[tex]14x=-4[/tex]
[tex]x =-\frac{2}{7}[/tex]
We have found the x-value of the system of equation, now we have to find the y-value. To do this, we can substitute the derived x-value into any equation, I'll be doing it in the first equation. When we substitute -2/7 into the first equation and solve for y, we get -11/7. Therefore, the solutions to the system of equations are -2/7 and -11/7. Hope my answer has come of assistance you and have a phenomenal day!