Asked by Alex
how do i show my work for -9(t-2)=4(t-15)
Answers
Answered by
oobleck
first, remove the parens:
-9t+18 = 4t-60
Now finish it off
-9t+18 = 4t-60
Now finish it off
Answered by
Bosnian
- 9 ( t - 2 ) = 4 ( t - 15 )
- 9 • t - 9 • ( - 2 ) = 4 • t + 4 • ( - 15 )
- 9 t + 18 = 4 t - 60
Subtract 4 t to both sides.
- 13 t + 18 = - 60
Subtract 18 to both sides.
- 13 t = - 78
t = - 78 / - 13
t = 6
____________________
Check result.
- 9 ( t - 2 ) = 4 ( t - 15 )
- 9 ( 6 - 2 ) = 4 ( 6 - 15 )
- 9 • 4 = 4 • ( - 9 )
- 36 = - 36
Correct
_________________
- 9 • t - 9 • ( - 2 ) = 4 • t + 4 • ( - 15 )
- 9 t + 18 = 4 t - 60
Subtract 4 t to both sides.
- 13 t + 18 = - 60
Subtract 18 to both sides.
- 13 t = - 78
t = - 78 / - 13
t = 6
____________________
Check result.
- 9 ( t - 2 ) = 4 ( t - 15 )
- 9 ( 6 - 2 ) = 4 ( 6 - 15 )
- 9 • 4 = 4 • ( - 9 )
- 36 = - 36
Correct
_________________
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