Solve {l}{-7b+5=4b+13}{c=b}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { -7 b + 5 = 4 b + 13 }\\ { c = b }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Solve for b, c, d

$$d=-\frac{8}{11}\approx -0.727272727$$

Solution Steps

Consider the first equation. Subtract 4b from both sides.

$$-7b+5-4b=13$$

Combine -7b and -4b to get -11b.

$$-11b+5=13$$

Subtract 5 from both sides.

$$-11b=13-5$$

Subtract 5 from 13 to get 8.

$$-11b=8$$

Divide both sides by -11.

$$b=-\frac{8}{11}$$

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

$$c=-\frac{8}{11}$$

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

$$d=-\frac{8}{11}$$

The system is now solved.

$$b=-\frac{8}{11} c=-\frac{8}{11} d=-\frac{8}{11}$$