Solve {l}{3/5-7/x=7/4-5/4x}{y=1-x2-x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { \frac{3}{5} - \frac{7}{x} = \frac{7}{4} - \frac{5}{4 x} }\\ { y = 1 - x 2 - x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=6-x_{2}$$

Short Steps Using Substitution

Reorder the equations.

$$y=1-x_{2}-x \frac{3}{5}-\frac{7}{x}=\frac{7}{4}-\frac{5}{4x} z=y$$

Substitute 1-x_{2}-x for y in the equation z=y.

$$z=1-x_{2}-x$$

Solve \frac{3}{5}-\frac{7}{x}=\frac{7}{4}-\frac{5}{4x} for x.

$$x=-5$$

Substitute -5 for x in the equation z=1-x_{2}-x.

$$z=1-x_{2}-\left(-5\right)$$

Calculate z from z=1-x_{2}-\left(-5\right).

$$z=6-x_{2}$$

Substitute -5 for x in the equation y=1-x_{2}-x.

$$y=1-x_{2}-\left(-5\right)$$

Calculate y from y=1-x_{2}-\left(-5\right).

$$y=6-x_{2}$$

The system is now solved.

$$x=-5 y=6-x_{2} z=6-x_{2}$$