Make x the subject of the equation s = 2 + t/5(x + ⅗y)

Correct Answer is : x = 5[(s − 2) ÷ t] - 3/5y

Correct Answer is : x = 5[(s − 2) ÷ t] - 3/5y

Test Index

JAMB Mathematics 2015 Paper

Question : 15

Total: 61

\frac{t}{5}

(x + ⅗y)

Solution:

Concept:

Rearrange the equation by inverse operations to isolate

x

Explanation:

Start with:

s = 2 + \frac{t}{5}\left(x + \frac{3}{5}y\right)

Subtract 2 from both sides:

s - 2 = \frac{t}{5}\left(x + \frac{3}{5}y\right)

Multiply both sides by 5:

5(s - 2) = t\left(x + \frac{3}{5}y\right)

Divide both sides by

t

x + \frac{3}{5}y = \frac{5(s - 2)}{t}

Subtract

\frac{3}{5}y

from both sides:

x = \frac{5(s - 2)}{t} - \frac{3}{5}y

Answer:

x = \frac{5(s - 2)}{t} - \frac{3}{5}y

This matches option A.

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