Question

11. 5(x + 1)-3(x+4)=5x÷3
12. x -2÷x+4 = 2
13. x+1÷x-2=4÷3
14. 3÷1 (x+9) - 5÷1 (x+5)= 4
15. 3÷x-4÷x=2
16. x -2÷x+1 - 5÷x-2 =2


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Answer 1

5x/3 – (x-1)/4 = (x-3)/5 Let us rearrange the equation 5x/3 – (x-1)/4 – (x-3)/5 = 0 By taking LCM for 3, 4 and 5 which is 60 ((5x×20) – (x-1)15 – (x-3)12)/60 = 0 (100x – 15x + 15 -12x + 36)/60 = 0 (73x + 51)/60 = 0 By cross-multiplying 73x + 51 = 0 x = -51/73 Let us verify the given equation now, 5x/3 – (x-1)/4 = (x-3)/5 By substituting the value of ‘x’ we get, (20x – (x-1)3)/12 = (-51/73 – 3)/5 (20x – 3x + 3)/12 = (-270/73)/5 (17x + 3)/12 = -270/365 (17(-51/73) + 3)/12 = -54/73 (-867/73 + 3)/12 = -54/73 ((-867 + 219)/73)/12 = -54/73 (-648)/876 = -54/73 -54/73 = -54/73

Answer 2

Answer:

Step-by-step explanation:

5(x+1)−3(x+4)=35x

or, 5x+5−3x−12=35x

or, 2x−7=35x

or, 6x−21=5x

or, 6x−5x−21=0

or, x−21=0

or, x=21