Algebra Question
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If \[\frac{ 3 }{ 4 } = \frac{ 6}{ x } = \frac{ 9 }{ y } \] , then x +y = ?
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 \(\large\color{black}{ \displaystyle \frac{3}{4}=\frac{9}{y} }\)
oh so this also follows the transitive property of equality
yes, if you have `a=b=c` then you can conclude that: `a=b` `a=c` or `b=c`
this way we can solve for x and solve for y. (Have you found any of the unknown variables) ?
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?
you mea 3y=27?
x=8 is correct, check your y.
yes
hmm
3y=36 yu meant 36 not 26
so, y=12, x=8 x+y=8+12=20 RIGHT !!
OH haha
I was like hmm where did you get 27 from haha, thanks :)
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:)
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