2/x-1+3/y+1=2 and 18/x-1+12/y+1=13 find x and y
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Answer:
x = 3
y = 2
Step-by-step explanation:
2/(x - 1) + 3/(y + 1) = 2 L1
18/(x - 1) + 12/(y + 1) = 13 L2
L2 = 9L1 - L2
18/(x - 1) + 27/(y + 1) = 18
-18/(x - 1) - 12/(y + 1) = -13
15/(y + 1) = 5
15/5 = y + 1
3 = y + 1
y = 3 - 1
y = 2
2/(x - 1) + 3/(y + 1) = 2
2/(x - 1) + 3/(2+1) = 2
2/(x - 1) + 3/3 = 2
2/(x - 1) + 1 = 2
2/(x - 1) = 2 -1
2/(x - 1) = 1
2 = x - 1
x = 2 + 1
x = 3
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