Solve {l}{a-c=10}{1.5+c=15}{b-a=3}

$$\left. \begin{array} { l } { a - c = 10 } \\ { 1.5 + c = 15 } \\ { b - a = 3 } \end{array} \right.$$

Solve for a, c, b

$$a=23.5$$

$$c=13.5$$

$$b=26.5$$

Solution Steps

Consider the second equation. Subtract 1.5 from both sides.

$$c=15-1.5$$

Subtract 1.5 from 15 to get 13.5.

$$c=13.5$$

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

$$a-13.5=10$$

Add 13.5 to both sides.

$$a=10+13.5$$

Add 10 and 13.5 to get 23.5.

$$a=23.5$$

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

$$b-23.5=3$$

Add 23.5 to both sides.

$$b=3+23.5$$

Add 3 and 23.5 to get 26.5.

$$b=26.5$$

The system is now solved.

$$a=23.5 c=13.5 b=26.5$$