Chapter 4, Problem 19PT

To determine

To solve and check: the given equation

Answer to Problem 19PT

The required solution is $t=-4$

Explanation of Solution

Given:

  $-75t=300$

Calculation:

The objective is to solve the equation and to check the solution.

Consider the equation.

  $-75t=300$

Solve the equation.

  $-75t=300$

  $\frac{-75t}{-75}=\frac{300}{-75}$ [Division property of equality]

  $t=-4$

CHECK:

  $-75t=300$

  $-75\left(-4\right)=300$

[set $t=-4$ ]

  $300=300$ [True]

Conclusion:

Therefore solution of the given equation is $t=-4$