Solve the equation.
-$$\frac { 2 } { 17 x } + 7 = \frac { 3 } { 23 x }$$
A) $\left\{ \frac { 3 } { 7 } \right\}$
B) $\varnothing$
C) $\left\{ \frac { 5 } { 7 } \right\}$
D) $\left\{ \frac { 5 } { 2737 } \right\}$

Question

Quizplus · Accepted Answer

To solve the equation $\frac { 2 } { 17 x } + 7 = \frac { 3 } { 23 x }$, first get all terms involving $x$ on one side and constants on the other. Subtract $\frac { 2 } { 17 x }$ from both sides to get $7 = \frac { 3 } { 23 x } - \frac { 2 } { 17 x }$. To combine the fractions, find a common denominator, which is $17 \times 23 x$. This gives $7 = \frac { 51 - 34 } { 391 x }$, simplifying to $7 = \frac { 17 } { 391 x }$. Solving for $x$ gives $x = \frac { 17 } { 2737 }$, which matches choice D.

Solve the Equation 217x+7=323x\frac { 2 } { 17 x } + 7 = \frac { 3 } { 23 x }17x2​+7=23x3​

Solve the Equation $\frac { 2 } { 17 x } + 7 = \frac { 3 } { 23 x }$