How do you solve for y: ##2x + y = 8## , ##2x - y = 8##?

You can solve this by Elimination Method .

Elimination Method: Add this two equation together to eliminate ##y## ##2x+cancely = 8 ## ##2x -cancely = 8)## ##4x= 16## ##color(blue)(x= 4)##

Substitute ##x## in any of the equation say, ##2x+y = 8## ##2(4)+y = 8## ##8 + y =8## transposing 8 on the right side of the equation, ##color(blue)(y=0)##

Now, substitute the value of ##x and y## in any of the equations to verify if the answers are correct.

##2x+ y=8## ##2(4) + 0 = 8## ##color(red)(8=8)##