Will mark the brainliest
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