Question
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Tutor-Verified Answer
Answer
\(3x + 11y\)
Solution
Calculate or simplify the expression \( 5x+8y-(2x-3y) \).
Simplify the expression by following steps:
- step0: Solution:
\(5x+8y-\left(2x-3y\right)\)
- step1: Remove the parentheses:
\(5x+8y-2x+3y\)
- step2: Subtract the terms:
\(3x+11y\)
The result of subtracting \(2x-3y\) from \(5x+8y\) is \(3x+11y\).
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Extra Insights
To subtract \( 2x - 3y \) from \( 5x + 8y \), you essentially need to perform the operation: \[ (5x + 8y) - (2x - 3y) \] First, distribute the negative sign: \[ 5x + 8y - 2x + 3y \] Next, combine like terms: \[ (5x - 2x) + (8y + 3y) = 3x + 11y \] So, the result is \( 3x + 11y \).