Solve {l}{2-a=1}{-a-b=-1}

$$\left\{ \begin{array} { l } { 2 - a = 1 } \\ { - a - b = - 1 } \end{array} \right.$$

Solve for a, b

$$a=1$$

$$b=0$$

Solution Steps

Consider the first equation. Subtract 2 from both sides.

$$-a=1-2$$

Subtract 2 from 1 to get -1.

$$-a=-1$$

Divide both sides by -1.

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

Divide -1 by -1 to get 1.

$$a=1$$

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

$$-1-b=-1$$

Add 1 to both sides.

$$-b=-1+1$$

Add -1 and 1 to get 0.

$$-b=0$$

Divide both sides by -1. Zero divided by any non-zero number gives zero.

$$b=0$$

The system is now solved.

$$a=1 b=0$$