Question

Solve the following system of equations and show all work.

y = −x2 + 4
y = 2x + 1

Answer 1

y = −x2 + 4
y = 2x + 1

Answer 2

hm

Answer 3

just need the steps

Answer 4

there are many diffrent ways to fo this but we r going to do this this way,
staep 1 take x and y and put them on 1 side

Answer 5

step*

Answer 6

alright

Answer 7

y +x^2= 4
y - 2x = 1

then subtract y from y

Answer 8

i think i dont i just oearned his last month

Answer 9

yeah i dont no sorry

Answer 10

thats a hard question

Answer 11

1. Subtract the 2 equations and factor them out and set equal to 0 to solve for x:
\[-x^2-2x+3=0\rightarrow -(x^2+2x-3)=0\rightarrow -[(x+3)(x-1)]=0\]
2. Then, solve for x:

\[x = -3 and 1\]
3. Plug x in to solve for y for 1 solution:
\[y = 2x+1\rightarrow y = 2(1)+1\rightarrow y = 3\]
4. Plug in x to solve y for 2nd solution: \[y = 2x + 1\rightarrow y = 2(-3)+1\rightarrow y = -5\]
5. Solutions are (1,3) and (-3,-5)