Solve 15.5=-3/2(7)+B

$$15.5 = - \frac { 3 } { 2 } ( 7 ) + B$$

Solve for B

$$B=26$$

Steps for Solving Linear Equation

Express -\frac{3}{2}\times 7 as a single fraction.

$$15.5=\frac{-3\times 7}{2}+B$$

Multiply -3 and 7 to get -21.

$$15.5=\frac{-21}{2}+B$$

Fraction \frac{-21}{2} can be rewritten as -\frac{21}{2} by extracting the negative sign.

$$15.5=-\frac{21}{2}+B$$

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

$$-\frac{21}{2}+B=15.5$$

Add \frac{21}{2} to both sides.

$$B=15.5+\frac{21}{2}$$

Convert decimal number 15.5 to fraction \frac{155}{10}. Reduce the fraction \frac{155}{10} to lowest terms by extracting and canceling out 5.

$$B=\frac{31}{2}+\frac{21}{2}$$

Since \frac{31}{2} and \frac{21}{2} have the same denominator, add them by adding their numerators.

$$B=\frac{31+21}{2}$$

Add 31 and 21 to get 52.

$$B=\frac{52}{2}$$

Divide 52 by 2 to get 26.

$$B=26$$