Answer: X = -167/63 Y = -47/21
1/2x - 2/3y = 1/6
+2/3y +2/3y
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1/2x = 1/6 + 2/3y
(Divide both sides by 1/2)
x = 1/3 + 4/3y
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(Now plug into other formula)
-2/5x + 3/10y = 7/18
-2/5(1/3 + 4/3y) + 3/10y = 7/18
-2/15 - 8/15y + 3/10y = 7/18
-2/15 - 7/30y = 7/18
+2/15 +2/15
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- 7/30y = 47/90
(Divide -7/30 on both sides)
y = -47/21
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1/2x - 2/3(-47/21) = 1/6
1/2 x + 94/63 = 1/6
1/2x = -167/126
(Divide -167/126 on both sides)
x = -167/63