Solve {l}{x-1/4=y}{y-2/3=5}

$$\left. \begin{array} { l } { x - \frac { 1 } { 4 } = y } \\ { y - \frac { 2 } { 3 } = 5 } \end{array} \right.$$

Solve for x, y

$$x = \frac{71}{12} = 5\frac{11}{12} \approx 5.916666667$$

$$y = \frac{17}{3} = 5\frac{2}{3} \approx 5.666666667$$

Solution Steps

Consider the second equation. Add \frac{2}{3} to both sides.

$$y=5+\frac{2}{3}$$

Add 5 and \frac{2}{3} to get \frac{17}{3}.

$$y=\frac{17}{3}$$

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

$$x-\frac{1}{4}=\frac{17}{3}$$

Add \frac{1}{4} to both sides.

$$x=\frac{17}{3}+\frac{1}{4}$$

Add \frac{17}{3} and \frac{1}{4} to get \frac{71}{12}.

$$x=\frac{71}{12}$$

The system is now solved.

$$x=\frac{71}{12} y=\frac{17}{3}$$