Simplify the following expression.

Question

(53x + 55y) + (-17x + 45y)
A.
70x + 10y
B.
70x + 100y
C.
36x + 100y
D.
36x + 10y

Answer 1

To simplify the expression \((53x + 55y) + (-17x + 45y)\), we can combine like terms.

1. Combine the \(x\) terms: \[ 53x + (-17x) = 53x - 17x = 36x \]

2. Combine the \(y\) terms: \[ 55y + 45y = 100y \]

Putting it all together, we have: \[ 36x + 100y \]

Thus, the simplified expression is \(\textbf{C. } 36x + 100y\).