Question

Solve the following system of equations:

1 / x + 1 / y = 1 / 15

x / y = 5

Answer 1

We have
\[\frac1 x+\frac 1 y=\frac {1}{15}\]
and
\[\frac{x}{y}=5\]
so from second
\[\frac{1}{y}=\frac{5}{x}\]
Do you get this?

Answer 2

yes i do, it makes more sense the way you have it written out

Answer 3

Now we have
\[\frac{1}{y}=\frac{5}{x}\]
Use this in
first
\[\frac1 x +\frac 1 y=\frac {1}{15}\]
\[\frac1 x +\frac 5 x= \frac 1 {15}\]

Now can you find x from this?

Answer 4

on the left side would it become 6/2x? or just 6/x?

Answer 5

OK tell me
\[\frac 13+ \frac23=?\]

Answer 6

3/3=1

Answer 7

okay i got it, and then from there I just solve for x. Thank you

Answer 8

Yeah, then use x to find y. Let me know if you need help anywhere:)

Answer 9

I got the right answers! thanks again