Solve -3/4+1/2v=-7/3

$$- \frac { 3 } { 4 } + \frac { 1 } { 2 } v = - \frac { 7 } { 3 }$$

Solve for v

$$v = -\frac{19}{6} = -3\frac{1}{6} \approx -3.166666667$$

Steps for Solving Linear Equation

Add \frac{3}{4} to both sides.

$$\frac{1}{2}v=-\frac{7}{3}+\frac{3}{4}$$

Least common multiple of 3 and 4 is 12. Convert -\frac{7}{3} and \frac{3}{4} to fractions with denominator 12.

$$\frac{1}{2}v=-\frac{28}{12}+\frac{9}{12}$$

Since -\frac{28}{12} and \frac{9}{12} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}v=\frac{-28+9}{12}$$

Add -28 and 9 to get -19.

$$\frac{1}{2}v=-\frac{19}{12}$$

Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$v=-\frac{19}{12}\times 2$$

Express -\frac{19}{12}\times 2 as a single fraction.

$$v=\frac{-19\times 2}{12}$$

Multiply -19 and 2 to get -38.

$$v=\frac{-38}{12}$$

Reduce the fraction \frac{-38}{12} to lowest terms by extracting and canceling out 2.

$$v=-\frac{19}{6}$$