anonymous one year ago Solve the following system of equations and show all work. y = −x2 + 4 y = 2x + 1

1. anonymous

y = −x2 + 4 y = 2x + 1

2. anonymous

hm

3. anonymous

just need the steps

4. anonymous

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

5. anonymous

step*

6. anonymous

alright

7. anonymous

y +x^2= 4 y - 2x = 1 then subtract y from y

8. anonymous

i think i dont i just oearned his last month

9. anonymous

yeah i dont no sorry

10. anonymous

thats a hard question

11. anonymous

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)