Use the properties of equality to solve the equation. $- 2 m = \frac { 1 } { 9 }$
A) $m = - \frac { 9 } { 2 }$
B) $m = - \frac { 1 } { 18 }$
C) $m = - \frac { 2 } { 9 }$
D) $m = - \frac { 1 } { 2 }$
E) none of these

Question

Quizplus · Accepted Answer

To solve the equation, we want to isolate the variable, $m$, on one side of the equation. Using the properties of equality, we can add $2m$ to both sides of the equation: \begin{align*}
-2m + 2m &= \frac{1}{9} + 2m \
0 &= 2m + \frac{1}{9}
\end{align*} Now, we can subtract $\frac{1}{9}$ from both sides to get $2m$ by itself: $$2m = -\frac{1}{9}$$ Finally, we divide both sides by 2 to get the solution: $$m = -\frac{1}{18}$$ Therefore, the answer is B.

Use the Properties of Equality to Solve the Equation −2m=19- 2 m = \frac { 1 } { 9 }−2m=91​

Use the Properties of Equality to Solve the Equation $- 2 m = \frac { 1 } { 9 }$