Solve {l}{8-a=5}{2b+4=-6}

$$\left\{ \begin{array} { l } { 8 - a = 5 } \\ { 2 b + 4 = - 6 } \end{array} \right.$$

Solve for a, b

$$a=3$$

$$b=-5$$

Solution Steps

Consider the first equation. Subtract 8 from both sides.

$$-a=5-8$$

Subtract 8 from 5 to get -3.

$$-a=-3$$

Divide both sides by -1.

$$a=\frac{-3}{-1}$$

Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.

$$a=3$$

Consider the second equation. Subtract 4 from both sides.

$$2b=-6-4$$

Subtract 4 from -6 to get -10.

$$2b=-10$$

Divide both sides by 2.

$$b=\frac{-10}{2}$$

Divide -10 by 2 to get -5.

$$b=-5$$

The system is now solved.

$$a=3 b=-5$$