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Simplify 67c − 59d − 12 c + 13d

.(1 point)
Responses

59c + 412d = 59c +13d
Start Fraction 5 over 9 End Fraction c plus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c plus Start Fraction 1 over 3 End Fraction d

59c − 412d = 59c −13d
Start Fraction 5 over 9 End Fraction c minus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c minus Start Fraction 1 over 3 End Fraction d

514c − 29d
Start Fraction 5 over 14 End Fraction c minus Start Fraction 2 over 9 End Fraction d

514c + 29d

3 answers

To simplify \(67c - 59d - 12c + 13d\), we can combine like terms.

  1. Combine the \(c\) terms: \[ 67c - 12c = 55c \]

  2. Combine the \(d\) terms: \[ -59d + 13d = -46d \]

So, the simplified expression is: \[ 55c - 46d \]

This means none of the provided options are correct for the simplification. Let me know if you need any further assistance!

well all of the numbers next to eachother like (example 12) actually mean (example 1/2)

Thank you for the clarification! In that case, let's reinterpret your original expression considering the fractions.

Given:

\[ 67c - 59d - \frac{12}{c} + \frac{13}{d} \]

Step 1: Rewrite the expression

First, we interpret the expression properly:

\[ 67c - 59d - \frac{12}{c} + \frac{13}{d} \]

Step 2: Simplify

  1. We combine the \(c\) terms and the \(d\) terms separately.

    There are no like terms among the fractions, so we just have:

    • For \(c\): \(67c - \frac{12}{c}\) (they can't be combined directly)
    • For \(d\): \(-59d + \frac{13}{d}\) (similar situation)

Thus, the expression doesn't simplify further in this context.

If your intent was to find a common expression format or another fractional interpretation, please clarify further!

If I can assist you in a different way, please let me know!