Answer:
see explanation
Step-by-step explanation:
(e)
[tex]\frac{2x-1}{3}[/tex] - [tex]\frac{3x-1}{4}[/tex] = 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)
[tex]\frac{3m}{4}[/tex] - 5 = 24 ( add 5 to both sides )
[tex]\frac{3m}{4}[/tex] = 29 ( multiply both sides by 4 )
3m = 116 ( divide both sides by 3 )
m = [tex]\frac{116}{3}[/tex]
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(g)
[tex]\frac{5(y+2)}{2}[/tex] - [tex]\frac{4(y+1)}{3}[/tex] = 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 = - [tex]\frac{4}{7}[/tex]
