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lana66690 [7]
3 years ago
7

A-y= b+y/a make y subject

Mathematics
1 answer:
Sav [38]3 years ago
8 0

Answer:

y = \frac{a^2-ab}{a+1}

Step-by-step explanation:

a - y = b + \frac{y}{a} ( multiply through by a to clear the fraction )

a² - ay = ab + y ( subtract y from both sides )

a² - ay - y = ab ( subtract a² from both sides )

- ay - y = ab - a² ← factor out y from each term on the left side

y(- a - 1) = ab - a² ( divide both sides by - a - 1 )

y = \frac{ab-a^2}{-a-1} ( multiply numerator/ denominator by - 1 )

y = \frac{a^2-ab}{a+1}

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