Question 1032541
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2x - 3y =  18,     (1)
5x + 9y = -10.     (2)

Multiply equation (1) by 5 (both sides) and equation (2) by 2. You will get

10x - 15y =  90,   (3)
10x + 18y = -20.   (4)

Now distract equation (3) from equation (4) (both sides). You will get

-15y - 18y = 90 -(-20),

-33y = 110,

y = {{{110/(-33)}}} = {{{-110/33}}} = -{{{3}}}{{{1/3}}}.

Then from (1)  x = {{{(18+3y)/2}}} = {{{18-10/2}}} = {{{8/2}}} = 4.

<U>Answer</U>. x = 4, y = -{{{3}}}{{{1/3}}}.
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