Solve {l}{x=3}{x-y=7}{z=x+y}{a=z}{b=a}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { x = 3 }\\ { x - y = 7 }\\ { z = x + y }\\ { a = z }\\ { b = a }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Solve for x, y, z, a, b, c, d

$$d=-1$$

Solution Steps

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

$$3-y=7$$

Subtract 3 from both sides.

$$-y=7-3$$

Subtract 3 from 7 to get 4.

$$-y=4$$

Divide both sides by -1.

$$y=-4$$

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

$$z=3-4$$

Subtract 4 from 3 to get -1.

$$z=-1$$

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

$$a=-1$$

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

$$b=-1$$

Consider the equation (6). Insert the known values of variables into the equation.

$$c=-1$$

Consider the equation (7). Insert the known values of variables into the equation.

$$d=-1$$

The system is now solved.

$$x=3 y=-4 z=-1 a=-1 b=-1 c=-1 d=-1$$