Make k the subject of the relation, k y - k = y²

Correct Answer is : k= y2y−1\;k = \; y²/y-1k=y−1y2

Correct Answer is : k= y2y−1\;k = \; y²/y-1k=y−1y2

Test Index

BECE Mathematics 2019 Paper

Question : 11

Total: 40

Make

k

k y - k = y^2

Solution:

k y - k = y^2

Factorize

k

out

\;k y = k \times y

\; -k = -1 \times k

When you factorize, you take the letter(s) common at both sides or the number that divides each numbers out and write the remain(s) in a bracket

k y - k = k \times y - 1 \times k

Bring the

k

out

\Rightarrow k \times y - 1 \times k = k(y-1)

\;k y - k = y^2

\;\Rightarrow k(y-1) = y^2

Since we are making

k

the subject (let

k

stand alone), we divide both sides of the equation by

(y-1)

so that the

(y-1)

cancels each other, leaving the

k

alone.

\Rightarrow k = \frac{y^2}{y-1}

Go to Question:

Prev Question

Next Question