Solve the system y = - x + 7 and y = 0.5 (x - 3) ^2

Y = - X + 7

Y =.5 (X-3) 2

Alright check it out. Substitute the Y in the second equation for the first equation so ...

-X + 7 =.5 (X-3) 2

After this, you have to get rid of the. 5 and the 2 which is easy peasy because they just cancel out. If you were to multiply by half and then multiply by 2 then you'd be back to where you started. So ...

-X + 7 = X - 3

Move the X to combine them on one side, I moved the - X to the opposite side by adding X to each side so you get ...

7 = 2X - 3

You then add 3 to both side so ...

10 = 2X

Divide by 2

X = 5

So ...

Y = - 5 + 7

Y = 2

Y =.5 (5-3) 2

Cancel out the. 5 and the 2

Y = 5-3

Y = 2

(5,2) is your answer