Solve {l}{B=12-(4-5-9)-14}{r=-(14-25)-(27-4-12)}

$$\left. \begin{array} { l } { B = 12 - ( 4 - 5 - 9 ) - 14 } \\ { r = - ( 14 - 25 ) - ( 27 - 4 - 12 ) } \end{array} \right.$$

Solve for B, r

$$r=0$$

$$B=8$$

Solution Steps

Consider the first equation. Subtract 5 from 4 to get -1.

$$B=12-\left(-1-9\right)-14$$

Subtract 9 from -1 to get -10.

$$B=12-\left(-10\right)-14$$

The opposite of -10 is 10.

$$B=12+10-14$$

Add 12 and 10 to get 22.

$$B=22-14$$

Subtract 14 from 22 to get 8.

$$B=8$$

Consider the second equation. Subtract 25 from 14 to get -11.

$$r=-\left(-11\right)-\left(27-4-12\right)$$

The opposite of -11 is 11.

$$r=11-\left(27-4-12\right)$$

Subtract 4 from 27 to get 23.

$$r=11-\left(23-12\right)$$

Subtract 12 from 23 to get 11.

$$r=11-11$$

Subtract 11 from 11 to get 0.

$$r=0$$

The system is now solved.

$$B=8 r=0$$