Make x the subject of the equation.

Five divided x plus 1 equal y.

1 answer

To make \( x \) the subject of the equation \( \frac{5}{x} + 1 = y \), follow these steps:

  1. Start with the original equation: \[ \frac{5}{x} + 1 = y \]

  2. Subtract 1 from both sides: \[ \frac{5}{x} = y - 1 \]

  3. Now, multiply both sides by \( x \) to eliminate the fraction: \[ 5 = (y - 1)x \]

  4. Finally, divide both sides by \( y - 1 \) to isolate \( x \): \[ x = \frac{5}{y - 1} \]

So, the final result is: \[ x = \frac{5}{y - 1} \]

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