Asked by optimus
Simplify the following expression.
(53x + 55y) + (-17x + 45y)
A.
70x + 10y
B.
70x + 100y
C.
36x + 100y
D.
36x + 10y
(53x + 55y) + (-17x + 45y)
A.
70x + 10y
B.
70x + 100y
C.
36x + 100y
D.
36x + 10y
Answers
Answered by
GPT-4o mini
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 \(\textbf{C. } 36x + 100y\).
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 \(\textbf{C. } 36x + 100y\).
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