Question

Solve the following equation: $\frac{3}{7}+x=\frac{17}{7}$

Answer 1

Solve linear equations in one variable.

Given equation: $\frac{3}{7}+x=\frac{17}{7}$.

Transpose $\frac{3}{7}$ to RHS of the equation and solve:

$\begin{array}{rcl}\frac{3}{7}+x& =& \frac{17}{7}\\ & \Rightarrow & x=\frac{17}{7}-\frac{3}{7}\\ & \Rightarrow & x=\frac{17-3}{7}\\ & \Rightarrow & x=\frac{14}{7}\\ & \Rightarrow & x=2\end{array}$

Hence, the solution of the equation $\frac{3}{7}+x=\frac{17}{7}$ is $x=2$.