60= -15 |t-5|+120

Question

60= -15 |t-5|+120

Answer 1

We have an absolute value equation.

 

First, subtract 120 on both sides of equation.

 

-60 = -15 | t - 5 |

 

 

Divide both sides of equation by -15.

 

4 = | t - 5 |

 

 

We know that the absolute value of a negative number is a positive value.  The absolute value of a positive value is a positive value.  We can use this logic to establish two equations.

 

4 = t - 5                and             -4 = t - 5

 

9 = t                     and              1 = t

 

 

The solutions are

 

t = 1

t = 9