Originally Posted by

**Neenoon** I'm having a hard time learning how to translate a written math problem into algebra equations. Tell me if this is right?

*The difference of two number, x and y, is 28. The number y is 8/9 of the number x. Find these 2 numbers.*

$\displaystyle x-y = 28$

$\displaystyle 8/9 x = y$

$\displaystyle -8(x-y) = -8(28)$

$\displaystyle -8x-8y=-224$

$\displaystyle 8/9x=y$

$\displaystyle 9(8/9x)=9(y)$

$\displaystyle 8x=9y$

$\displaystyle 8x-9y=0$

$\displaystyle -8x-8y=-224$

$\displaystyle +8x-9y=0$

$\displaystyle -17y=-224$

$\displaystyle y=224/17$

$\displaystyle x-y=28$

$\displaystyle x-224/17=28$

$\displaystyle x=28+224/17$

$\displaystyle x= 700/17$

$\displaystyle x-y=28$

$\displaystyle 700/17-224/17=28$

$\displaystyle 28=28$

So what do you guys think?