Respuesta :

Focus on equation 2 for now. Multiply both sides of that equation by 2 to clear out the fraction.

x = (-1/2)y + 6
2*x = 2*[(-1/2)y + 6]
2x = 2*(-1/2)y + 2*6
2x = -y + 12

Now add y to both sides

2x = -y + 12
2x+y = -y + 12+y
2x+y = 12

We end up getting what equation 1 is saying. Equation 1 and equation 2 are identical equations just written in different forms. They produce the same graph. Therefore, you'll have infinitely many solutions. One line is directly on top of the other one. 
Unknow1
take first equation
2x + y =12
2x =12-y
Now for second equation multiply each term with 2 we get
2×x = 2×(-1/2y) +2×6
2x = -y + 12
or 2x + y=12
As we see both the equations match.......hence infinite values if x and y can be obtained.