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Given that \( y=\frac{3 x-2}{3} \), make \( x \) the subject of the formula. ( 3 marks)

Ask by Gough Burgess. in Papua New Guinea
Mar 12,2025

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\( x = \frac{3y + 2}{3} \)

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To make \( x \) the subject of the formula, start with the equation: \[ y = \frac{3x - 2}{3} \] First, multiply both sides by 3 to eliminate the fraction: \[ 3y = 3x - 2 \] Next, add 2 to both sides: \[ 3y + 2 = 3x \] Finally, divide both sides by 3 to isolate \( x \): \[ x = \frac{3y + 2}{3} \] Now, \( x \) is the subject of the formula!

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