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3 years ago

9|4/3x-2| + 7 = 7 Please help!

Mathematics

1 answer:

Aleksandr [31]3 years ago

3 0

Answer:

Step-by-step explanation:

Given the expression

9|4/3x-2| + 7 = 7

First note that the value in parenthesis can both be negative and positive;

For the positive value, we have;

9(4/3x-2) + 7 = 7

9(4/3x-2) + 7 - 7 = 7 - 7

9(4/3x-2) = 0

Open the bracket

9(4/3x) - 9(2) = 0

36/3 x - 18 = 0

12x = 18

x = 18/12

x = 3/2

For the negative value;

9(-(4/3x-2)) + 7 = 7

9(-4/3x+2) + 7 - 7 = 7 - 7

9(-4/3x+2) = 0

Open the bracket

9(-4/3x) + 9(2) = 0

-36/3 x + 18 = 0

-12x = -18

x = 18/12

x = 3/2

Hence the value of x is 3/2

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