Solve {l}{1.5x-0.7=1}{y=1-1.2x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 1.5 x - 0.7 = 1 }\\ { y = 1 - 1.2 x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=-0.36$$

Solution Steps

Consider the first equation. Add 0.7 to both sides.

$$1.5x=1+0.7$$

Add 1 and 0.7 to get 1.7.

$$1.5x=1.7$$

Divide both sides by 1.5.

$$x=\frac{1.7}{1.5}$$

Expand \frac{1.7}{1.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{17}{15}$$

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

$$y=1-1.2\times \frac{17}{15}$$

Multiply -1.2 and \frac{17}{15} to get -\frac{34}{25}.

$$y=1-\frac{34}{25}$$

Subtract \frac{34}{25} from 1 to get -\frac{9}{25}.

$$y=-\frac{9}{25}$$

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

$$z=-\frac{9}{25}$$

The system is now solved.

$$x=\frac{17}{15} y=-\frac{9}{25} z=-\frac{9}{25}$$