Question 501602
{{{3/x - 2/y = -30}}}
{{{2/x - 3/y = -30}}}
:
Multiply the 1st equation by 2, the 2nd equation by 3:
{{{6/x - 4/y = -60}}}
{{{6/x - 9/y = -90}}}
-------------subtraction eliminates x, find y
+{{{5/y = 30}}}
30y = 5
y = {{{5/30}}}
y = {{{1/6}}}
:
Find x using the 1st equation
{{{3/x}}} - {{{2/(1/6) = -30}}}
{{{3/x - 12 = -30}}}
{{{3/x}}} = -30 + 12
{{{3/x}}} = -18
-18x = 3
x = {{{3/(-18)}}}
x = {{{-1/6}}}
:
:
Check solutions in the 2nd equation
{{{2/(-1/6)}}} - {{{3/(1/6) = -30}}}
-12 - 18 = -30