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Linear and Quadratic Equations · Question 7 of 66

Question 7

MediumOriginal question

If x3−x5=4\frac{x}{3} - \frac{x}{5} = 4, what is xx?

Options for question 7

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Multiply every term by the LCM, 15: 5x−3x=605x - 3x = 60.

  2. So 2x=602x = 60, giving x=30x = 30.

  3. Check: 10−6=410 - 6 = 4.

Worth noting

Multiplying only the left side by 15 gives 2x=42x = 4, i.e. 2. Treating x3−x5\frac{x}{3} - \frac{x}{5} as x15\frac{x}{15} gives 60.

Concept
Clearing fractions with the LCM of the denominators
Typical time
70 s
Your time
—
The rule this testsLinear equations in one variable
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