Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (anonymous):

Algebra Question

OpenStudy (sloppycanada):

?

OpenStudy (anonymous):

If \[\frac{ 3 }{ 4 } = \frac{ 6}{ x } = \frac{ 9 }{ y } \] , then x +y = ?

OpenStudy (solomonzelman):

you can solve for x, and solve for y, by making the following conclusions out of your initial statement (what you wrote above). (Hope you know why they are valid) \(\large\color{black}{ \displaystyle \frac{3}{4}=\frac{6}{x} }\) and \(\large\color{black}{ \displaystyle \frac{3}{4}=\frac{9}{y} }\)

OpenStudy (anonymous):

oh so this also follows the transitive property of equality

OpenStudy (solomonzelman):

yes, if you have `a=b=c` then you can conclude that: `a=b` `a=c` or `b=c`

OpenStudy (solomonzelman):

this way we can solve for x and solve for y. (Have you found any of the unknown variables) ?

OpenStudy (anonymous):

Yes I have :D After cross multiplying: 3x= 24 and 3y = 26 and then dividing both equations by 3 on both sides gave me x = 8 and y = 12 and therefore x + y = 12 + 8 = 20 Did I do this right or was there a mistake somewhere?

OpenStudy (solomonzelman):

you mea 3y=27?

OpenStudy (solomonzelman):

x=8 is correct, check your y.

OpenStudy (solomonzelman):

yes

OpenStudy (anonymous):

hmm

OpenStudy (solomonzelman):

3y=36 yu meant 36 not 26

OpenStudy (solomonzelman):

so, y=12, x=8 x+y=8+12=20 RIGHT !!

OpenStudy (anonymous):

OH haha

OpenStudy (anonymous):

I was like hmm where did you get 27 from haha, thanks :)

OpenStudy (solomonzelman):

Yes, I got confused by 26 there (I thought you meant 27, but the keyboard was off by the first digit.... In any case, you are always welcome:)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!