Solve 2-7z=13/3

$$2 - 7 z = \frac { 13 } { 3 }$$

Solve for z

$$z=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Subtract 2 from both sides.

$$-7z=\frac{13}{3}-2$$

Convert 2 to fraction \frac{6}{3}.

$$-7z=\frac{13}{3}-\frac{6}{3}$$

Since \frac{13}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$-7z=\frac{13-6}{3}$$

Subtract 6 from 13 to get 7.

$$-7z=\frac{7}{3}$$

Divide both sides by -7.

$$z=\frac{\frac{7}{3}}{-7}$$

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

$$z=\frac{7}{3\left(-7\right)}$$

Multiply 3 and -7 to get -21.

$$z=\frac{7}{-21}$$

Reduce the fraction \frac{7}{-21} to lowest terms by extracting and canceling out 7.

$$z=-\frac{1}{3}$$