Solve {l}{2/3*a/4=b}{b=5/2}{c=a}{text{Solvefor}dtext{where}}{d=c}

$$\left. \begin{array} { l } { \frac{2}{3} \cdot \frac{a}{4} = b }\\ { b = \frac{5}{2} }\\ { c = a }\\ { \text{Solve for } d \text{ where} } \\ { d = c } \end{array} \right.$$

Solve for a, b, c, d

$$d=15$$

Solution Steps

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

$$\frac{2}{3}\times \frac{a}{4}=\frac{5}{2}$$

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

$$\frac{a}{4}=\frac{5}{2}\times \frac{3}{2}$$

Multiply \frac{5}{2} and \frac{3}{2} to get \frac{15}{4}.

$$\frac{a}{4}=\frac{15}{4}$$

Multiply both sides by 4.

$$a=\frac{15}{4}\times 4$$

Multiply \frac{15}{4} and 4 to get 15.

$$a=15$$

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

$$c=15$$

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

$$d=15$$

The system is now solved.

$$a=15 b=\frac{5}{2} c=15 d=15$$