Question

Simplify the expression 13(5x - 3y) - 3(10y - 6x).

Answer 1

To simplify the expression 13(5x - 3y) - 3(10y - 6x), distribute the numbers and combine like terms to obtain the final simplified expression 83x - 69y.

Step-by-step explanation:

To simplify the expression 13(5x - 3y) - 3(10y - 6x), we need to distribute the 13 and the -3 and then combine like terms.

1. Distribute the 13: 13 * 5x = 65x, and 13 * -3y = -39y.
2. Distribute the -3: -3 * 10y = -30y, and -3 * -6x = 18x.
3. Combine like terms: 65x - 39y - 30y + 18x.
4. Combine x terms: 65x + 18x = 83x.
5. Combine y terms: -39y - 30y = -69y.
6. Final simplified expression: 83x - 69y.