Question
What is the simplest form of the expression \( (-11.7 y-3.3 x)+1.2 x+(5.2 y+x) \) ? \( -16.9 y-5.5 x \) \( -16.9 y-4.5 x \) \( -6.5 y-2.1 x \) \( -6.5 y-1.1 x \)
Ask by Bob Patel. in the United States
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The simplest form of the expression is \( -6.5y - 1.1x \).
Solution
Calculate or simplify the expression \( (-11.7*y-3.3*x)+1.2*x+(5.2*y+x) \).
Simplify the expression by following steps:
- step0: Solution:
\(\left(-11.7y-3.3x\right)+1.2x+\left(5.2y+x\right)\)
- step1: Remove the parentheses:
\(-11.7y-3.3x+1.2x+5.2y+x\)
- step2: Add the terms:
\(-6.5y-1.1x\)
The simplest form of the expression \( (-11.7 y-3.3 x)+1.2 x+(5.2 y+x) \) is \( -6.5y-1.1x \).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To simplify the expression \( (-11.7 y - 3.3 x) + 1.2 x + (5.2 y + x) \), we can combine like terms. Starting with the \( y \) terms: - Combine \( -11.7 y + 5.2 y = -6.5 y \). Next, for the \( x \) terms: - Combine \( -3.3 x + 1.2 x + x = -3.3 x + 1.2 x + 1.0 x = -1.1 x \). Putting it all together, the expression simplifies to: \[ -6.5 y - 1.1 x. \] So the correct answer is \( -6.5 y - 1.1 x \).
