Solve {l}{5x-1=6x-9}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 5 x - 1 = 6 x - 9 }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=8$$

Solution Steps

Consider the first equation. Subtract 6x from both sides.

$$5x-1-6x=-9$$

Combine 5x and -6x to get -x.

$$-x-1=-9$$

Add 1 to both sides.

$$-x=-9+1$$

Add -9 and 1 to get -8.

$$-x=-8$$

Divide both sides by -1.

$$x=\frac{-8}{-1}$$

Fraction \frac{-8}{-1} can be simplified to 8 by removing the negative sign from both the numerator and the denominator.

$$x=8$$

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

$$y=8$$

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

$$z=8$$

The system is now solved.

$$x=8 y=8 z=8$$