Simplify 67c − 59d − 12 c + 13d.(1 point)
Responses
514c + 29d
Start Fraction 5 over 14 End Fraction c plus Start Fraction 2 over 9 End Fraction d
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
To simplify the expression 67c - 59d - 12c + 13d, we combine like terms by adding or subtracting the coefficients of the variables.
First, let's combine the terms with the variable c.
We have 67c - 12c, which simplifies to 55c.
Next, let's combine the terms with the variable d.
We have -59d + 13d, which simplifies to -46d.
Now, we can write the simplified expression as:
55c - 46d.
So, the correct answer is 55c - 46d.