Solve -11/k+1=2

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

Solve for k

$$k = -\frac{13}{2} = -6\frac{1}{2} = -6.5$$

Steps for Solving Linear Equation

Variable k cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by k+1.

$$-11=2\left(k+1\right)$$

Use the distributive property to multiply 2 by k+1.

$$-11=2k+2$$

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

$$2k+2=-11$$

Subtract 2 from both sides.

$$2k=-11-2$$

Subtract 2 from -11 to get -13.

$$2k=-13$$

Divide both sides by 2.

$$k=\frac{-13}{2}$$

Fraction \frac{-13}{2} can be rewritten as -\frac{13}{2} by extracting the negative sign.

$$k=-\frac{13}{2}$$