Question

Solve 0.5(−6 4d) − 2d = −11 for d.

A. d = −5
B. d = 0.625
C. No solution
D. Infinite solutions

Answer 1

The equation simplifies to –-3 = –-11 which doesn't hold true for any value of d. Hence, there is no solution to the equation, and the correct answer is C. No solution.

Step-by-step explanation:

To solve the equation 0.5(−6 + 4d) − 2d = −11 for d, we first distribute the 0.5 across the terms in the parenthesis:

• 0.5 × −6 = −3
• 0.5 × 4d = 2d

This gives us the equation −3 + 2d − 2d = −11. Simplifying the d terms, we notice that they cancel each other out:

• 2d − 2d = 0

The equation simplifies to −3 = −11. Since this is not true and no value for d can make it true, the equation has no solution.

Therefore, the correct answer is C. No solution.