Solve 25=30t/200+t

$$25= \frac{ 30t }{ 200+t }$$

Solve for t

$$t=1000$$

Steps for Solving Linear Equation

Variable t cannot be equal to -200 since division by zero is not defined. Multiply both sides of the equation by t+200.

$$25\left(t+200\right)=30t$$

Use the distributive property to multiply 25 by t+200.

$$25t+5000=30t$$

Subtract 30t from both sides.

$$25t+5000-30t=0$$

Combine 25t and -30t to get -5t.

$$-5t+5000=0$$

Subtract 5000 from both sides. Anything subtracted from zero gives its negation.

$$-5t=-5000$$

Divide both sides by -5.

$$t=\frac{-5000}{-5}$$

Divide -5000 by -5 to get 1000.

$$t=1000$$