Question

7. What is the solution of [x - 61 = 15?x = -21 or x = 9no solutionOx = -9 or x = 21x = -15 or x = 15

Answer 1

Given the equation | x - 6 | = 15

so,

x - 6 = 15

x = 15 + 6

x = 21

OR

x - 6 = -15

x = -15 + 6

x = -9

so, x = -9 or 21

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Given : 2 | 7x - 4 | + 3 = 51

So,

2 | 7x - 4 | = 51 - 3

2 | 7x - 4 | = 48

Divide both sides by 2

| 7x - 4 | = 48/2

| 7x - 4 | = 24

So,

7x - 4 = 24 or 7x - 4 = -24

When 7x - 4 = 24

7x = 24 + 4

7x = 28

x = 28/7

x = 4

And when 7x - 4 = -24

7x = -24 + 4

7x = -20

x = -20/7

So, x = -20/7 or x = 4

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