Question 354515
<pre>
{{{system(expr(1/3)x + expr(1/5)y= 8/15,
expr(1/3)x + 4y =70/3)}}}

First thing to do is to clear of fractions,

To clear 

{{{expr(1/3)x + expr(1/5)y= 8/15}}}

of fractions multiply through every term by LCD of 15

{{{red(15)expr(1/3)x + red(15)expr(1/5)y= red(15)expr(8/15)}}}

and get 

{{{5x + 3y = 8}}}

---

To clear 

{{{expr(1/3)x + 4y =70/3}}}

of fractions multiply through every term by LCD of 3

{{{red(3)expr(1/3)x + red(3)4y= red(3)expr(70/3)}}}

and get 

{{{x + 12y = 70}}}

Then the system becomes easier to solve:

{{{system(5x + 3y = 8,
x + 12y = 70)}}}

Can you solve that by yourself?  If not post again.

Solution: (x,y) = (-2,6)

Edwin</pre>