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Solve. \[ \frac{x}{x+6} = 5 \] x = ............................................... - OCR - GCSE Maths - Question 15 - 2020 - Paper 1

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Question 15

Solve.-\[-\frac{x}{x+6}-=-5-\]--x-=-...............................................-OCR-GCSE Maths-Question 15-2020-Paper 1.png

Solve. \[ \frac{x}{x+6} = 5 \] x = ................................................ [3]

Worked Solution & Example Answer:Solve. \[ \frac{x}{x+6} = 5 \] x = ............................................... - OCR - GCSE Maths - Question 15 - 2020 - Paper 1

Step 1

Step 1: Cross-Multiply

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Answer

To eliminate the fraction, we cross-multiply the equation:

x = 5(x + 6)$$

Step 2

Step 2: Expand and Rearrange

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Answer

Now, we expand the right side:

x = 5x + 30$$ Next, isolate \(x\) on one side: $$x - 5x = 30$$ which simplifies to: $$-4x = 30$$

Step 3

Step 3: Solve for x

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Answer

Dividing both sides by -4 gives:

x=30−4=−7.5x = \frac{30}{-4} = -7.5

Thus, the final answer is:

x=−7.5x = -7.5

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