Solve 35t=50(t-3/4)

$$35 t = 50 ( t - \frac { 3 } { 4 } )$$

Solve for t

$$t = \frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 50 by t-\frac{3}{4}.

$$35t=50t+50\left(-\frac{3}{4}\right)$$

Express 50\left(-\frac{3}{4}\right) as a single fraction.

$$35t=50t+\frac{50\left(-3\right)}{4}$$

Multiply 50 and -3 to get -150.

$$35t=50t+\frac{-150}{4}$$

Reduce the fraction \frac{-150}{4} to lowest terms by extracting and canceling out 2.

$$35t=50t-\frac{75}{2}$$

Subtract 50t from both sides.

$$35t-50t=-\frac{75}{2}$$

Combine 35t and -50t to get -15t.

$$-15t=-\frac{75}{2}$$

Divide both sides by -15.

$$t=\frac{-\frac{75}{2}}{-15}$$

Express \frac{-\frac{75}{2}}{-15} as a single fraction.

$$t=\frac{-75}{2\left(-15\right)}$$

Multiply 2 and -15 to get -30.

$$t=\frac{-75}{-30}$$

Reduce the fraction \frac{-75}{-30} to lowest terms by extracting and canceling out -15.

$$t=\frac{5}{2}$$