Question 1049120

2/x-5/y=5
3/x+10/y=18

find the point where they intersect?
<pre>Easiest method: ELIMINATION
2y - 5x = 5xy -------- eq (i)	
3y + 10x = 18xy ------ eq (ii)	
4y - 10x = 10xy	------ Multiplying eq (i ) by 2 ------- eq (iii)
7y = 28xy ---- Adding eqs (iii) & (ii)	
{{{7y/28y = x}}}	
{{{highlight_green(x = 1/4)}}}	
{{{3y + 10(1/4) = 18y(1/4)}}} ------- Substituting {{{1/4}}} for x in eq (ii)
{{{3y + 5/2 = 9y/2}}}
6y + 5 = 9y ----- Multiplying by LCD, 2	
5 = 9y - 6y 
5 = 3y
{{{highlight_green(y = 5/3)}}}