Solve {l}{1/2x-1-2x=y}{x=2}

$$\left\{ \begin{array} { l } { \frac { 1 } { 2 x - 1 } - 2 x = y } \\ { x = 2 } \end{array} \right.$$

Solve for x, y

$$x=2$$

$$y = -\frac{11}{3} = -3\frac{2}{3} \approx -3.666666667$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$\frac{1}{2\times 2-1}-2\times 2=y$$

Multiply 2 and 2 to get 4.

$$\frac{1}{4-1}-2\times 2=y$$

Subtract 1 from 4 to get 3.

$$\frac{1}{3}-2\times 2=y$$

Multiply -2 and 2 to get -4.

$$\frac{1}{3}-4=y$$

Subtract 4 from \frac{1}{3} to get -\frac{11}{3}.

$$-\frac{11}{3}=y$$

Swap sides so that all variable terms are on the left hand side.

$$y=-\frac{11}{3}$$

The system is now solved.

$$x=2 y=-\frac{11}{3}$$