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Harmony Sanford
Mathematics
19 May, 21:02
Y/a - b = y/b - a, if a≠b
solve for y
+1
Answers (
1
)
Uriah Kemp
19 May, 21:27
0
y = ab if a≠b
Step-by-step explanation:
y/a - b = y/b - a
multiply each side by ab to clear the fractions
ab (y/a - b) = ab (y/b - a)
distribute
ab * y/a - ab*b = ab * y/b - ab * a
b*y - ab^2 = ay - a^2 b
subtract ay on each side
by - ay - ab^2 = ay-ay - a^2b
by - ay - ab^2 = -a^2b
add ab^2 to each side
by-ay - ab^2 + ab^2 = ab^2 - a^2b
by-ay = ab^2 - a^2b
factor out the y on the left, factor out an ab on the right
y (b-a) = ab (b-a)
divide by (b-a)
y (b-a) / (b-a) = ab (b-a) / (b-a) b-a ≠0 or b≠a
y = ab
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