Question

Fractional Equations Help with steps

Answer 1

see explanation

Explanation:

(e)

`(2x-1)/(3)` -
`(3x-1)/(4)` = 1

Multiply through by 12 to clear the fractions

4(2x - 1) - 3(3x - 1) = 12 ← distribute parenthesis and simplify

8x - 4 - 9x + 3 = 12

- x - 1 = 12 ( add 1 to both sides )

- x = 13 ( multiply both sides by - 1 )

x = - 13

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(f)

`(3m)/(4)` - 5 = 24 ( add 5 to both sides )

`(3m)/(4)` = 29 ( multiply both sides by 4 )

3m = 116 ( divide both sides by 3 )

m =
`(116)/(3)`

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(g)

`(5(y+2))/(2)` -
`(4(y+1))/(3)` = 3

Multiply through by 6 to clear the fractions

15(y + 2) - 8(y + 1) = 18 ← distribute parenthesis and simplify

15y + 30 - 8y - 8 = 18

7y + 22 = 18 ( subtract 22 from both sides )

7y = - 4 ( divide both sides by 7 )

y = -
`(4)/(7)`