ALGEBRA 2
----------------------------------------***WILL BECOME FAN AND GIVE MEDAL***
Solve the following system of equations and show all work.
y = −x2 + 4
y = 2x + 1
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OpenStudy (plasmataco):
-x squared?
OpenStudy (anonymous):
yeah
OpenStudy (plasmataco):
oh.
OpenStudy (plasmataco):
substitute.
OpenStudy (anonymous):
just need the steps
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OpenStudy (plasmataco):
replace the bottem equations with Y on the top equation.
OpenStudy (plasmataco):
add X^2 and subtract 4 from both sides to get X^2+2x-3
OpenStudy (anonymous):
alright got that
OpenStudy (plasmataco):
the simplify to get (X-1)(X+3)
OpenStudy (plasmataco):
X can be either 1 or -3.
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OpenStudy (plasmataco):
now, sub it in.
OpenStudy (anonymous):
x^2 + 3x -x -3
OpenStudy (plasmataco):
yup
OpenStudy (plasmataco):
you got it.
OpenStudy (anonymous):
so that's the answer?
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OpenStudy (plasmataco):
no.
OpenStudy (plasmataco):
simplify it to (X-1)(X+3)
OpenStudy (plasmataco):
then, for (X-1)(X+3)=0, X could be 1 or negative 3.
OpenStudy (anonymous):
x^2 + 3x -x - 3
x^2 + 2x -3
OpenStudy (plasmataco):
sub it in so Y=2X+1, X=1, Y=3. (1,3) when X=-3 Y=5 so (-3,5)
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OpenStudy (plasmataco):
nononono
OpenStudy (plasmataco):
don't multiply both of them.
OpenStudy (plasmataco):
make separate equations like X-1=0 and X+3=0
OpenStudy (plasmataco):
then, look up to see the rest.
OpenStudy (plasmataco):
I'm 13 XD
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