Solve x=((24-8k_{1})/3)

$$x = ( ( 24 - 8 k _ { 1 } ) / 3 )$$

Solve for k_1

$$k_{1}=-\frac{3x}{8}+3$$

Steps for Solving Linear Equation

Divide each term of 24-8k_{1} by 3 to get 8-\frac{8}{3}k_{1}.

$$x=8-\frac{8}{3}k_{1}$$

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

$$8-\frac{8}{3}k_{1}=x$$

Subtract 8 from both sides.

$$-\frac{8}{3}k_{1}=x-8$$

Divide both sides of the equation by -\frac{8}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{8}{3}k_{1}}{-\frac{8}{3}}=\frac{x-8}{-\frac{8}{3}}$$

Dividing by -\frac{8}{3} undoes the multiplication by -\frac{8}{3}.

$$k_{1}=\frac{x-8}{-\frac{8}{3}}$$

Divide x-8 by -\frac{8}{3} by multiplying x-8 by the reciprocal of -\frac{8}{3}.

$$k_{1}=-\frac{3x}{8}+3$$

Solve for x

$$x=-\frac{8k_{1}}{3}+8$$

Solution Steps

Divide each term of 24-8k_{1} by 3 to get 8-\frac{8}{3}k_{1}.

$$x=8-\frac{8}{3}k_{1}$$