Use a General Strategy to Solve Linear Equations: example 2.44

Solve: $0.36 (100 n + 5) = 0.6 (30 n + 15)$ .

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Solve: $0.55 (100 n + 8) = 0.6 (85 n + 14)$ .

How did it go?


Distribute.
Subtract $18 n$ to get the variables to the left.
Simplify.
Subtract $1.8$ to get the constants to the right.
Simplify.
Divide.
Simplify.
Check:
Let $n = 0.4$ .


Distribute.
Subtract $18 n$ to get the variables to the left.
Simplify.
Subtract $1.8$ to get the constants to the right.
Simplify.
Divide.
Simplify.
Check:
Let $n = 0.4$ .