Question

Solve the equation. Write a justification for each step. x + 43=−10.

A. x = -53 (Subtract 43 from both sides)
B. x = 53 (Add 43 to both sides)
C. x = -33 (Subtract 43 from both sides)
D. x = 33 (Add 43 to both sides)

Answer 1

To solve x + 43 = -10, subtract 43 from both sides of the equation to isolate the variable x. The correct answer is x = -53.

Step-by-step explanation:

To solve the equation x + 43 = -10, we can use the concept of isolating the variable. The correct step is to subtract 43 from both sides of the equation. This yields x = -53. Therefore, the correct answer is A. x = -53. The justification for this step is that by subtracting 43 from both sides of the equation, we are canceling out the 43 on the left side, leaving x alone.