Solve the literal equation for a. y=x(ab/a-b)

Expert Answers

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We are asked to solve `y=x((ab)/(a-b)) ` for a:

Here is one method:

Multiply both sides by (a-b) to clear the fraction:

y(a-b)=x(ab)

Use the distributive property to clear the parantheses:

ya-yb=xab

Subtract xab from both sides; add yb to both sides. (This gets all terms with a on the left side of the equation, while all other terms are on the right hand side.)

ya-xab=yb

Factor out the common a on the left side:

a(y-xb)=yb

Divide both sides by (y-xb):

`a=(yb)/(y-xb) `

This is the solution. You have successfully solved the equation for a.

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