Question

Solve the equation. write a justification for each step. m−17=11

A) m=11
B) m=28
C) m=6
D) m=−6

Answer 1

To find the value of m in the equation m - 17 = 11, we add 17 to both sides, giving us m = 28. We then check the solution by substituting it back into the original equation, which verifies that our solution is correct.

Step-by-step explanation:

To solve the equation m - 17 = 11, we need to isolate the variable m. We do this by adding 17 to both sides of the equation to cancel out the -17 on the left side.

1. Add 17 to both sides: m - 17 + 17 = 11 + 17
2. Simplify both sides: m = 28
3. Check the answer to see if it is reasonable by substituting 28 for m in the original equation: 28 - 17 = 11. Since this is true, our solution m = 28 is reasonable.

The correct answer is B) m = 28.