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nalin [4]
3 years ago
5

|5z−8|=7

Mathematics
1 answer:
Step2247 [10]3 years ago
5 0

Answer:

z = \frac{1}{5}, z = 3

Step-by-step explanation:

The absolute value function always returns a positive value.

However, the expression inside can be positive or negative, that is

5z - 8 = 7 ( add 8 to both sides )

5z = 15 ( divide both sides by 5 )

z = 3

OR

- (5z - 8) = 7

- 5z + 8 = 7 ( subtract 8 from both sides )

- 5z = - 1 ( divide both sides by - 5 )

z = \frac{1}{5}

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions

z = 3

left side = | 15 - 8 | = | 7 | = 7 = right side

z = \frac{1}{5}

left side = | 1 - 8 | = | - 7 | = 7 = right side

Thus z = \frac{1}{5}, z = 3 are the solutions

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