Solve 75(t+1/3)=95t

$$75 ( t + \frac { 1 } { 3 } ) = 95 t$$

Solve for t

$$t = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 75 by t+\frac{1}{3}.

$$75t+75\times \frac{1}{3}=95t$$

Multiply 75 and \frac{1}{3} to get \frac{75}{3}.

$$75t+\frac{75}{3}=95t$$

Divide 75 by 3 to get 25.

$$75t+25=95t$$

Subtract 95t from both sides.

$$75t+25-95t=0$$

Combine 75t and -95t to get -20t.

$$-20t+25=0$$

Subtract 25 from both sides. Anything subtracted from zero gives its negation.

$$-20t=-25$$

Divide both sides by -20.

$$t=\frac{-25}{-20}$$

Reduce the fraction \frac{-25}{-20} to lowest terms by extracting and canceling out -5.

$$t=\frac{5}{4}$$