Solve {l}{75{(8b+4)}-1=4b+14}{c=0}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { 75 {(8 b + 4)} - 1 = 4 b + 14 }\\ { c = 0 }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Solve for b, c, d

$$d=0$$

Solution Steps

Consider the first equation. Use the distributive property to multiply 75 by 8b+4.

$$600b+300-1=4b+14$$

Subtract 1 from 300 to get 299.

$$600b+299=4b+14$$

Subtract 4b from both sides.

$$600b+299-4b=14$$

Combine 600b and -4b to get 596b.

$$596b+299=14$$

Subtract 299 from both sides.

$$596b=14-299$$

Subtract 299 from 14 to get -285.

$$596b=-285$$

Divide both sides by 596.

$$b=-\frac{285}{596}$$

The system is now solved.

$$b=-\frac{285}{596} c=0 d=0$$