Question

5x/3 – (x-1)/4 = (x-3)/5

Answer 1

Answer:

x = -51/73

Step-by-step explanation:

Solution⤵️

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

✔️Hence, the given equation is verified

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