Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8

Question

Imagine · Answer

https://questioncove.com/study#/updates/5fc295d057639d2d6bb07c00 (FINDING THE X TUTORIAL)

Timmyspu · Answer

Ok so first off do you have a algebraic calculator

jadeleavitt · Answer

yes

jhonyy9 · Answer

do you need help ?

jadeleavitt · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @jhonyy9
do you need help ?
$\color{#0cbb34}{\text{End of Quote}}$
yes please

jhonyy9 · Answer

do you know the substitution method ?

jhonyy9 · Answer

or elimination method ?

jhonyy9 · Answer

what you wan  or need use here ?

Mercury · Answer

old question, but will respond so this can be closed

y = -x + 7 and y = -0.5(x - 3)^2 + 8

you can set them equal to each other to get

-x + 7 = -0.5(x-3)^2 + 8

you can expand the right side using FOIL, then combine the constant terms

-x + 7 = -0.5x^2 + 3x + 3.5

from there, you can add x - 7 to both sides, to get 0 on one side

0.5x^2 - 4x + 3.5 = 0
and use the quadratic formula to get your possible x-values. from there, plug x into the equation to find the corresponding y-values.