Question

13) maths equations answer??.. .

Answer 1

x =
`(7)/(2)`

Explanation:

Given

`(3x)/(x-2)` = 7 ( multiply both sides by x - 2 )

3x = 7(x - 2) ← distribute

3x = 7x - 14 ( subtract 3x from both sides )

0 = 4x - 14 ( add 14 to both sides )

14 = 4x ( divide both sides by 4 )

`(14)/(4)` = x , that is

x =
`(7)/(2)`

Answer 2

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`(3x)/(x - 2) = 7 \\`

Multiply sides by ( x - 2 )

`(x - 2) * (3x)/(x - 2) = (x - 2) * 7 \\`

Simplification

`3x = 7x - 14`

Subtract sides 7x

`- 7x + 3x = - 7x + 7x - 14`

Simplification

`- 4x = - 14`

Negatives simpliflies

`4x = 14`

Divide sides by 4

`(4x)/(4) = (14)/(4) \\`

`x = (7)/(2) \\`

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