Solve 21/7+b=-241/3

$$2 \frac { 1 } { 7 } + b = - 24 \frac { 1 } { 3 }$$

Solve for b

$$b = -\frac{556}{21} = -26\frac{10}{21} \approx -26.476190476$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 21, the least common multiple of 7,3.

$$3\left(2\times 7+1\right)+21b=-7\left(24\times 3+1\right)$$

Multiply 2 and 7 to get 14.

$$3\left(14+1\right)+21b=-7\left(24\times 3+1\right)$$

Add 14 and 1 to get 15.

$$3\times 15+21b=-7\left(24\times 3+1\right)$$

Multiply 3 and 15 to get 45.

$$45+21b=-7\left(24\times 3+1\right)$$

Multiply 24 and 3 to get 72.

$$45+21b=-7\left(72+1\right)$$

Add 72 and 1 to get 73.

$$45+21b=-7\times 73$$

Multiply -7 and 73 to get -511.

$$45+21b=-511$$

Subtract 45 from both sides.

$$21b=-511-45$$

Subtract 45 from -511 to get -556.

$$21b=-556$$

Divide both sides by 21.

$$b=\frac{-556}{21}$$

Fraction \frac{-556}{21} can be rewritten as -\frac{556}{21} by extracting the negative sign.

$$b=-\frac{556}{21}$$