Which expression is equivalent to 13x-2y-3(x+4y) with fewer terms?
(1 point)
Responses
16x - 14y
10x - 10y
10x - 14y
16x - 10y
The expression 13x - 2y - 3(x + 4y) can be simplified by distributing the -3 to both terms inside the parentheses:
13x - 2y - 3x - 12y
Combining like terms, we get:
(13x - 3x) + (-2y - 12y)
10x - 14y
Therefore, the expression is equivalent to 10x - 14y.
To simplify the expression 13x - 2y - 3(x + 4y), you can distribute the -3 to eliminate the parentheses.
First, distribute -3 to x:
13x - 2y - 3x
Next, distribute -3 to 4y:
13x - 2y - 12y
Combine like terms to simplify:
(13x - 3x) - (2y + 12y)
10x - 14y.
Therefore, the expression that is equivalent to 13x - 2y - 3(x + 4y) with fewer terms is 10x - 14y. Hence, the answer is option C: 10x - 14y.