Question

Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8. With an explanation would be good! :)

Answer 1

what is x

Answer 2

x means that and do not represent the same math object (Both symbols do not have the same value). (The forms !=, /= or <> are generally used in programming languages where ease of typing and use of ASCII text is preferred.) x ≈ y means x is approximately equal to y.

Answer 3

So, how would I solve this? Would i substitute y=-x+7 into the second equation?

Answer 4

yes

Answer 5

yes do the substitution and solve for x

Answer 6

with the calculated value for x then put in either original to find y

Answer 7

solving the system means you are finding the (x, y) set that satisfies both equation

Answer 8

yes

Answer 9

Okay. I ended up with y=-0.5({-x+7}-3)^2+8. Is that correct?

Answer 10

yes tht is correct