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Mathematics 14 Online
OpenStudy (anonymous):

can someone show me how to do this please look at the picture

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.

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?

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.

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.

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):

\[3+6=\frac{1}{3}x^2\] \[9=\frac{1}{3}x^2\]

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

OpenStudy (mertsj):

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