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Mathematics 12 Online
OpenStudy (anonymous):

3x=2y+10 9y=3x-7

OpenStudy (mathmate):

Have you learned "substitution"?

OpenStudy (mathmate):

\(\color{red}{3x}=2y+10\) \(9y=\color{red}{3x}-7\) Put the right hand side of the first equation into the red (3x) of the second equation and solve for y, and then x.

OpenStudy (anonymous):

I did it 9y=(2y=10)-7 9y=2y+10-7 9y-2y=10-7 7y=3 y=3/7

OpenStudy (anonymous):

i need to solve it by addition method

OpenStudy (anonymous):

y=3/7 and x=76/21

OpenStudy (mathmate):

You can do that too, by adding the two equations together, and cancelling 3x on each side. The rest is the same. BTW, what did you get for X?

OpenStudy (anonymous):

and i got struck

OpenStudy (mathmate):

Yes, the answer is correct.

OpenStudy (mathmate):

Where did you get stuck?

OpenStudy (anonymous):

but i can't solve for x

OpenStudy (anonymous):

i know answer but i don't know how to do it

OpenStudy (mathmate):

Add the two equations together: 3x=2y+10 9y=3x−7 You'll get 9y+3x = 2y+3x+10-7 So by cancelling 3x and isolating y, you get 9y-2y=3 7y=3 y=3/7 The rest is the same.

OpenStudy (anonymous):

i don't know how to solve for y because i am really bad at math

OpenStudy (mathmate):

Do you mean you don't know how to solve for x?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

really i don't know

OpenStudy (mathmate):

Put y=3/7 into one of the two equations, say the first one. 3x=2y+10 3x=2(3/7)+10 3x=6/7+10 3x=76/7 x=76/(7*3)=76/21 Please study and make sure you understand all the steps!

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