To simplify the expression \((60x + 76y) - (13x + 29y)\), we need to distribute the negative sign across the second set of parentheses and then combine like terms.
Here’s how to do it step-by-step:
-
Distribute the negative sign: \[ (60x + 76y) - (13x + 29y) = 60x + 76y - 13x - 29y \]
-
Combine the \(x\) terms: \[ 60x - 13x = 47x \]
-
Combine the \(y\) terms: \[ 76y - 29y = 47y \]
-
So, the simplified expression is: \[ 47x + 47y \]
The correct answer is B. 47x + 47y.
1 answer