Solve -2=9/4(2)+b

$$- 2 = \frac { 9 } { 4 } ( 2 ) + b$$

Solve for b

$$b = -\frac{13}{2} = -6\frac{1}{2} = -6.5$$

Steps for Solving Linear Equation

Express \frac{9}{4}\times 2 as a single fraction.

$$-2=\frac{9\times 2}{4}+b$$

Multiply 9 and 2 to get 18.

$$-2=\frac{18}{4}+b$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$-2=\frac{9}{2}+b$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{9}{2}+b=-2$$

Subtract \frac{9}{2} from both sides.

$$b=-2-\frac{9}{2}$$

Convert -2 to fraction -\frac{4}{2}.

$$b=-\frac{4}{2}-\frac{9}{2}$$

Since -\frac{4}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.

$$b=\frac{-4-9}{2}$$

Subtract 9 from -4 to get -13.

$$b=-\frac{13}{2}$$