SOLUTION: Please help me solve this equation: 2/x-3/y= -11/10 3/x+1/y= 11/10

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Question 325941: Please help me solve this equation:
2/x-3/y= -11/10
3/x+1/y= 11/10

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!

system%282%2Fx-3%2Fy=+-11%2F10%2C%0D%0A3%2Fx%2B1%2Fy=+11%2F10%29

Important: 
When all variables occur only as denominators, then
DO NOT CLEAR OF FRACTIONS!!!.  Instead leave the fractions and
use elimination:

To eliminate y, multiply the second equation through by 3

system%282%2Fx-3%2Fy=+-11%2F10%2C%0D%0A9%2Fx%2B3%2Fy=+33%2F10%29

Add corresponding terms:



11%2Fx%22%22=%22%2222%2F10

Take reciprocals of both sides:

x%2F11%22%22=%22%2210%2F22

Multiply both sides by 11

ll%2A%22%22x%2F11%22%22=%22%2211%2A%22%2210%2F22

cross%28ll%29%2A%22%22x%2Fcross%2811%29%22%22=%22%22cross%2811%29%2A%22%2210%2F%28%22%22%5E2cross%2822%29%29

x%22%22=%22%2210%2F2

x%22%22=%22%225

Now substitute 5 for x in one of the original
equations:

2%2Fx-3%2Fy%22%22=%22%22-11%2F10

2%2F5-3%2Fy%22%22=%22%22-11%2F10

NOW it is OK to clear of fractions,
Multiply through by 10y:

10y%2A%22%222%2F5-10y%2A%22%223%2Fy%22%22=%22%2210y%2A%22%22-11%2F10

%22%22%5E2cross%2810%29y%2A%22%222%2Fcross%285%29-10cross%28y%29%2A%22%223%2Fcross%28y%29%22%22=%22%22cross%2810%29y%2A%22%22-11%2Fcross%2810%29

4y-30%22%22=%22%22-11y

15y%22%22=%22%2230

y%22%22=%22%222

Edwin