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Which expression shows \( 3 x-7 y-12 y \) properly combined?

Ask by Chambers Horton. in the United States
Jan 23,2025

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Answer

The combined expression is \( 3x - 19y \).

Solution

To properly combine the expression \( 3x - 7y - 12y \), follow these steps: 1. **Identify Like Terms:** The terms \(-7y\) and \(-12y\) are like terms because they both contain the variable \( y \). 2. **Combine the Like Terms:** \[ -7y - 12y = -(7 + 12)y = -19y \] 3. **Write the Simplified Expression:** Replace the combined like terms back into the original expression: \[ 3x - 19y \] **Final Combined Expression:** \[ 3x - 19y \]

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Mind Expander

The expression \( 3x - 7y - 12y \) can be simplified by combining the like terms \( -7y \) and \( -12y \). When you add these together, you get \( -19y \). Therefore, the properly combined expression is \( 3x - 19y \). This simplification illustrates the fantastic world of algebra where we can re-organize and condense expressions for clearer understanding. Just like cleaning your room, tidying up your equations makes it easier to see what you've got! If you are tackling polynomial expressions, practicing combining like terms will make you a pro in no time. A tip is to always group similar variables together to avoid confusion. Remember, mistaking \( -19y \) for \( -5y \) is a common mistake when you're just starting out!

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