Solve 11/2=-21/2+31/6k

$$\frac { 11 } { 2 } = - 2 \frac { 1 } { 2 } + 3 \frac { 1 } { 6 } k$$

Solve for k

$$k = \frac{48}{19} = 2\frac{10}{19} \approx 2.526315789$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6.

$$33=-3\left(2\times 2+1\right)+\left(3\times 6+1\right)k$$

Multiply 2 and 2 to get 4.

$$33=-3\left(4+1\right)+\left(3\times 6+1\right)k$$

Add 4 and 1 to get 5.

$$33=-3\times 5+\left(3\times 6+1\right)k$$

Multiply -3 and 5 to get -15.

$$33=-15+\left(3\times 6+1\right)k$$

Multiply 3 and 6 to get 18.

$$33=-15+\left(18+1\right)k$$

Add 18 and 1 to get 19.

$$33=-15+19k$$

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

$$-15+19k=33$$

Add 15 to both sides.

$$19k=33+15$$

Add 33 and 15 to get 48.

$$19k=48$$

Divide both sides by 19.

$$k=\frac{48}{19}$$