Solve {l}{2a=a+2}{b+1=2b-3}

$$\left\{ \begin{array} { l } { 2 a = a + 2 } \\ { b + 1 = 2 b - 3 } \end{array} \right.$$

Solve for a, b

$$a=2$$

$$b=4$$

Solution Steps

Consider the first equation. Subtract a from both sides.

$$2a-a=2$$

Combine 2a and -a to get a.

$$a=2$$

Consider the second equation. Subtract 2b from both sides.

$$b+1-2b=-3$$

Combine b and -2b to get -b.

$$-b+1=-3$$

Subtract 1 from both sides.

$$-b=-3-1$$

Subtract 1 from -3 to get -4.

$$-b=-4$$

Divide both sides by -1.

$$b=\frac{-4}{-1}$$

Fraction \frac{-4}{-1} can be simplified to 4 by removing the negative sign from both the numerator and the denominator.

$$b=4$$

The system is now solved.

$$a=2 b=4$$