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# |5t - 7| = 11

can anyone explain how to solve this? I have no teacher to help me

### 3 Answers by Expert Tutors

Sheila E. | K thru 5th - Math and ReadingK thru 5th - Math and Reading
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Solving for variable "t".
5t -7 = 11

Move all terms containing t to the left, all other terms to the right.

Add '7' to each side of the equation.
5t -7 + 7 = 11 + 7

Combine like terms: -7 + 7 = 0
5t + 0 = 11 + 7
5t = 11 + 7
5t = 18

Divide each side by '5'.
5t/5 = 18/5

Simplifying
t = 3 3/5
t = 3.6

The other half of this problem is..

-(5t -7) = 11
-5t + 7 = 11
-5t +7 -7 = 11 - 7
-5t = 4
-5t/-5 = 4/-5
t  = -4/5

Absolute value of t = 3 3/5  and -4/5

Robert J. | Certified High School AP Calculus and Physics TeacherCertified High School AP Calculus and Ph...
4.6 4.6 (13 lesson ratings) (13)
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Since |+/-11| = 11, there are two solutions for 5t-7.

5t-7 = 11 => t = 18/5

or

5t-7 = -11 => t = -4/5

Answer: t = 18/5 or -4/5

Nataliya D. | Patient and effective tutor for your most difficult subject.Patient and effective tutor for your mos...
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