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4x+13=7(x-2)+bxIf the linear equation above has no solution, which of the following could be the value of b?

Correct answer: C. -3

  • A. -1
  • B. -2
  • C. -3
  • D. -4

Explanation

If a linear equation has the same coefficients and the same constants on opposite sides of the equation, it has no solutions. Option A and Option B have different coefficients for x, making them incorrect. Option D also has unequal coefficients, rendering it incorrect. Option C, with b = -3, results in the coefficients being equal on both sides of the equation, leading to no solution, which is the correct answer.

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About Quantitative Reasoning

Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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