Answer: X=0 Y=2 (equation has one solution)
Step-by-step explanation: starting with the second equation (y+2x=2) use transposition (or using the inverse operation) to move “2x” do the other side of the equation, this gives you y=-2+2
Now that you have an equation for Y plug it into the first equation (2y-6x=4) it’ll look like this: 2(-2x+2)-6x=4
Use distributive property: -4x+4-6x=4
Combine like terms: -10x+4=4
Use transposition again to move the “4” to the other side: -10x=0
Divide to get “x” by itself: x=0
NOW plug in the value of X into the equation you got for Y (y=-2x+2) it’ll look like this: y=-2(0)+2
Multiply 2 and 0: y=2