Question

like/unlike terms (parts whole) l1
score: 0/5 penalty: 1 off
question
fill in the parts - whole model for the following equation.
$-7y + (-10y)=(_____)$
\boxed{
\

$$\begin{array}{|c|c|} \\hline & \\\\ \\hline -7y & -10y \\\\ \\hline \\end{array}$$

}

Explanation:

Step1: Combine like terms

To solve \(-7y + (-10y)\), we add the coefficients of the like terms (terms with the same variable \(y\)). The coefficient of \(-7y\) is \(-7\) and the coefficient of \(-10y\) is \(-10\). So we calculate \(-7 + (-10)\).
\[
-7 + (-10) = -7 - 10 = -17
\]

Step2: Attach the variable

Since both terms have the variable \(y\), we attach \(y\) to the result of the coefficient addition. So \(-7y + (-10y)= -17y\).

Answer:

\(-17y\)