Solve 3k-60=sqrt{3}k+40

$$3k-60 = \sqrt{ 3 } k+40$$

Solve for k

$$k=\frac{50\sqrt{3}}{3}+50\approx 78.867513459$$

Steps for Solving Linear Equation

Subtract \sqrt{3}k from both sides.

$$3k-60-\sqrt{3}k=40$$

Add 60 to both sides.

$$3k-\sqrt{3}k=40+60$$

Add 40 and 60 to get 100.

$$3k-\sqrt{3}k=100$$

Combine all terms containing k.

$$\left(3-\sqrt{3}\right)k=100$$

Divide both sides by 3-\sqrt{3}.

$$\frac{\left(3-\sqrt{3}\right)k}{3-\sqrt{3}}=\frac{100}{3-\sqrt{3}}$$

Dividing by 3-\sqrt{3} undoes the multiplication by 3-\sqrt{3}.

$$k=\frac{100}{3-\sqrt{3}}$$

Divide 100 by 3-\sqrt{3}.

$$k=\frac{50\sqrt{3}}{3}+50$$