Solve {l}{7+5x-2=x-3}{y=2x}{text{Solvefor}ztext{where}}{z=y}

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

Solve for x, y, z

$$z=-4$$

Solution Steps

Consider the first equation. Subtract 2 from 7 to get 5.

$$5+5x=x-3$$

Subtract x from both sides.

$$5+5x-x=-3$$

Combine 5x and -x to get 4x.

$$5+4x=-3$$

Subtract 5 from both sides.

$$4x=-3-5$$

Subtract 5 from -3 to get -8.

$$4x=-8$$

Divide both sides by 4.

$$x=\frac{-8}{4}$$

Divide -8 by 4 to get -2.

$$x=-2$$

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

$$y=2\left(-2\right)$$

Multiply 2 and -2 to get -4.

$$y=-4$$

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

$$z=-4$$

The system is now solved.

$$x=-2 y=-4 z=-4$$