Solve -1=2/7(6)+b

$$- 1 = \frac { 2 } { 7 } ( 6 ) + b$$

Solve for b

$$b = -\frac{19}{7} = -2\frac{5}{7} \approx -2.714285714$$

Steps for Solving Linear Equation

Express \frac{2}{7}\times 6 as a single fraction.

$$-1=\frac{2\times 6}{7}+b$$

Multiply 2 and 6 to get 12.

$$-1=\frac{12}{7}+b$$

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

$$\frac{12}{7}+b=-1$$

Subtract \frac{12}{7} from both sides.

$$b=-1-\frac{12}{7}$$

Convert -1 to fraction -\frac{7}{7}.

$$b=-\frac{7}{7}-\frac{12}{7}$$

Since -\frac{7}{7} and \frac{12}{7} have the same denominator, subtract them by subtracting their numerators.

$$b=\frac{-7-12}{7}$$

Subtract 12 from -7 to get -19.

$$b=-\frac{19}{7}$$