Set 16: Linear Equations (Intermediate)

Explanation

Answer: C

For what value of a does ax + 5 = 4x + 10 have no solution?

3(2x - 1) + 4 = 6x + a. For what a is the solution set all real numbers?

What is a?

✓ Correct

Detailed Explanation

Choice C is correct. For no solution, slopes must be equal but y-intercepts different. Slopes: a = 4. Intercepts: 5 ≠ 10 (already true). So a = 4.

Key Steps:

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The correct answer is 4

Why others are wrong:

A: Choice A is incorrect and may result from a calculation error.

B: Choice B is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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