Solve the equation $11.59 x - 8.34 y = 11.51$ for $y$ .
A) $y = \frac { 11.51 - 11.59 x } { 8.34 }$ or $y = 1.38 - 1.39 x$

B) $y = \frac { 11.51 + 11.59 x } { 8.34 }$ or $y = 1.38 + 1.39 x$

C) $y = \frac { 11.59 x - 11.51 } { 8.34 }$ or $y = 1.39 x - 1.38$

D) None of the above.

Question

Solve the equation $11.59 x - 8.34 y = 11.51$ for $y$ . 
A) $y = \frac { 11.51 - 11.59 x } { 8.34 }$ or $y = 1.38 - 1.39 x$

B) $y = \frac { 11.51 + 11.59 x } { 8.34 }$ or $y = 1.38 + 1.39 x$

C) $y = \frac { 11.59 x - 11.51 } { 8.34 }$ or $y = 1.39 x - 1.38$

D) None of the above.

Quizplus · Accepted Answer

We want to isolate y on one side of the equation, so we begin by subtracting 11.59x from both sides:

\begin{align*}
11.59 x - 8.34 y &= 11.51 \
-8.34 y &= 11.51 - 11.59 x \
y &= \frac{11.59 x - 11.51}{8.34} \
\end{align*}

This gives us the first part of option C. To check if the second part is correct, we can simplify the expression:

\begin{align*}
y &= \frac{11.59 x - 11.51}{8.34} \
&= \frac{1.39(8.34)x - 1.38(8.34)}{8.34} \
&= 1.39 x - 1.38
\end{align*}

So both parts of option C are correct, and it is the best choice.

Solve the Equation 11.59x−8.34y=11.5111.59 x - 8.34 y = 11.5111.59x−8.34y=11.51 For yyy