Question

Find the value of the variable such that:

Answer 1

Translate the word problem into an algebraic equation, as follows:

7m-3 = (1/2)(12m + 1)

Perform the indicated multiplication:

7m-3 = 6m + 1/2

Solve for m by first subtracting 6m from both sides:

m-3 = 1/2

Next, add 3 to both sides:

m = 3 1/2, or m = 7/2

The value of the variable is 7/2.