Answer:
t=-10 or t=20
Step-by-step explanation:
We want to solve the equation:
[tex] |3t - 15| = 45[/tex]
We use the definition of the absolute value function to get:
[tex] - (3t - 15) = 45 \: or \: (3t - 15) = 45[/tex]
Divide through the first equation by -1 to get:
[tex]3t - 15 = - 45 \: or \: 3t - 15 =45[/tex]
We now add 15 to both sides of the equation to get:
[tex]3t = - 45 + 15 \: or \: 3t =45 + 15[/tex]
[tex]3t = - 30 \: or \: 3t =60[/tex]
Divide through by 3
[tex]t = - 10 \: or \: t = 20[/tex]
