Mathematics
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OpenStudy (anonymous):
can someone show me how to do this please look at the picture
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OpenStudy (anonymous):
OpenStudy (anonymous):
i thought it would be x^2+x^2/3-6=36 but i was wrong
OpenStudy (anonymous):
@Mertsj
OpenStudy (calculusxy):
Did you factor the number?
OpenStudy (calculusxy):
Sorry I meant the expression.
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OpenStudy (mertsj):
Replace x^2 with 3y+18
OpenStudy (anonymous):
for which one @Mertsj
OpenStudy (mertsj):
well, according to the second equation x^2=3y+18 so you would have to put it into the first equation.
OpenStudy (mertsj):
3y+18+y^2=36
OpenStudy (anonymous):
-6,3?
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OpenStudy (mertsj):
Those are the y values. Now you have to find the x values.
OpenStudy (anonymous):
so do i plug the -6,3 into the second equation?
OpenStudy (mertsj):
yes. or the first. It does not matter.
OpenStudy (anonymous):
i keep getting no solution
OpenStudy (mertsj):
Post what you did and I will trouble shoot it.
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OpenStudy (anonymous):
-6^2+3^2=36
OpenStudy (anonymous):
good
OpenStudy (mertsj):
So here is your problem. When you solved that equation and got -6,3 those were y values. You should have written y = -6 or y = 3
OpenStudy (mertsj):
So you cannot use either one of those as replacements for x because they are y values.
OpenStudy (mertsj):
You must choose one of them and plug it in in place of y and then solve for x.
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OpenStudy (mertsj):
After you do that, then take the other one, plug it in in place of y and solve for x again.
OpenStudy (anonymous):
i got x=0 from the second equation using -6
OpenStudy (mertsj):
Me too. So one solution is (0,-6)
Now plug in 3
OpenStudy (anonymous):
3 is not working for me
OpenStudy (mertsj):
\[3+6=\frac{1}{3}x^2\]
\[9=\frac{1}{3}x^2\]
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OpenStudy (mertsj):
Multiply both sides by 3 and then take the square root of both sides.
OpenStudy (anonymous):
1/3 cancels out right? leaving just 9?
OpenStudy (mertsj):
Multiply BOTH SIDES by 3
OpenStudy (anonymous):
27 1/6 ? idk what im doing!
OpenStudy (anonymous):
1/9 i mean
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OpenStudy (mertsj):
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