Solve the equation. $0.05 x - 5 ( x + 0.5 ) = 1.2$
A) $\left\{ - \frac { 26 } { 33 } \right\}$
B) $\left\{ \frac { 74 } { 99 } \right\}$
C) $\left\{ - \frac { 74 } { 99 } \right\}$
D) $\left\{ - \frac { 76 } { 99 } \right\}$
E) $\varnothing$

Question

Quizplus · Accepted Answer

We will begin by simplifying the left side of the equation:

\begin{align*}
0.05x - 5(x + 0.5) &= 1.2 \
0.05x - 5x - 2.5 &= 1.2 \
-4.95x &= 3.7 \
x &= \frac{3.7}{-4.95} \
x &= -\frac{74}{99}
\end{align*}

Therefore, the only solution is $x=-\frac{74}{99}$ and the answer is choice C.

Solve the Equation 0.05x−5(x+0.5)=1.20.05 x - 5 ( x + 0.5 ) = 1.20.05x−5(x+0.5)=1.2

Solve the Equation $0.05 x - 5 ( x + 0.5 ) = 1.2$