QuestionSimplify the expression $(-11 x+31 y)-2(-x+5 y)$ and find its equivalent form. Choose from: A) $-13 x+21 y$ , B) $-13 x+36 y$ , C) $-9 x+21 y$ , D) $-9 x+36 y$ .

Studdy Solution

STEP 1

Assumptions1. The given expression is $(-11 x+31 y)-(-x+5 y)$ . We are looking for an expression equivalent to the given expression

STEP 2

To simplify the expression, we need to distribute the negative sign in front of the second parenthesis to each term inside the parenthesis. $(-11 x+31 y)-2(-x+5 y) = -11 x+31 y+2x-10y$

STEP 3

Now, we can combine like terms. $-11 x+2x+31 y-10y = -9x+21y$ The expression $(-11 x+31 y)-2(-x+5 y)$ simplifies to $-9x+21y$ .
So, the equivalent expression is $-9 x+21 y$ which corresponds to option (C).

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