Make y the subject of the formula

Mathematics

ScanSolve AI Answer

Answer

x1−x\frac{x}{1 - x}

Step-by-step solution

5 steps

To make yy the subject of the formula x=yy+1x = \frac{y}{y+1}, follow these steps:

  1. Multiply both sides of the equation by (y+1)(y+1) to eliminate the denominator.

    x(y+1)=yx(y+1) = y

  2. Distribute xx on the left side.

    xy+x=yxy + x = y

  3. Gather all terms containing yy on one side of the equation and terms without yy on the other side.

    Subtract xyxy from both sides:

    x=y−xyx = y - xy

  4. Factor out yy from the terms on the right side.

    x=y(1−x)x = y(1 - x)

  5. Divide both sides by (1−x)(1 - x) to isolate yy.

    x1−x=y\frac{x}{1 - x} = y

    So, yy as the subject of the formula is:

    y=x1−xy = \boxed{\frac{x}{1 - x}}
Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

More Mathematics Questions

QMake a the subject of the formula. K = ab / b-aQMake g the subject of the formula: E = mv2/2 + mghQMake P the subject of the formula XY^r = Q^rQMake x the subject of the formula a = sqrt((t+x)/p2)QMake x the subject of the formula N = (−t) / sqrt(ax + bx)
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp