Solve {l}{x/3*7=-5}{y=0*4}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { x / 3 \cdot 7 = -5 }\\ { y = 0 \cdot 4 }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for x, y, z, a, b

$$b=0$$

Solution Steps

Consider the first equation. Divide both sides by 7.

$$\frac{x}{3}=-\frac{5}{7}$$

Multiply both sides by 3.

$$x=-\frac{5}{7}\times 3$$

Multiply -\frac{5}{7} and 3 to get -\frac{15}{7}.

$$x=-\frac{15}{7}$$

Consider the second equation. Multiply 0 and 4 to get 0.

$$y=0$$

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

$$z=0$$

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

$$a=0$$

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

$$b=0$$

The system is now solved.

$$x=-\frac{15}{7} y=0 z=0 a=0 b=0$$