Question 808165
{{{x/2 - y/3 = -4}}}
{{{x/2 + y/9 = 0}}}
.
Ok i hate fractions so lets change the appearance so fractions arent a sore to look at.
Find a number thats divisible by 2, 3 and 9. The easiest is to multiply all 3 together but since 9is divisible by 3 all wee need is to multiply 2 and 9 to make 18.
.
Now multiply the top and bottom line by 18
The 2s will cancel out leaving 9x/1 and the 3 will cancel out to be 6y/1 and the 9 will cancel out to be 2y/1. 
.
This shows as :
{{{9x-6y=-72}}}
{{{9x+2y=0}}}
.
Now much easier to see how to solve id go with subtraction so x cancels out and solve for y first.
{{{-6y-2y=-72}}} add like terms
{{{-8y=-72}}} divide by negative eight
{{{highlight(y=9)}}}
Plug in y and solve for x
{{{9x+2y=0}}}
{{{9x+2(9)=0}}} multiply
{{{9x+18=0}}} subtract 18
{{{9x=-18}}} divide by 9
{{{highlight(x=-2)}}}