Make y the subject of the formula: x = (y + z)/(y – z)

JAMB Mathematics 2024 221 views
Source: JAMB · 2024

Make y the subject of the formula: x = (y + z)/(y – z)

  1. y = (z – xz)/(x – 1)
  2. y = (z + x)/(x – 1)
  3. y = (z + xz)/(x – 1) ✓
  4. y = (z + xz)/(x + 1)
Explanation

Start with x = (y + z)/(y – z). Multiply both sides by (y – z): x(y – z) = y + z.

Expand: xy – xz = y + z. Gather the y terms on one side: xy – y = z + xz.

Factorise: y(x – 1) = z + xz. So y = (z + xz)/(x – 1).

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