Solve the equation and also check your results:(a-8)/3 = (a-3)/2

1.	Solve the equation and also check your results:(a-8)/3 = (a-3)/2
Answer» (a-8)/3 = (a-3)/2 By using cross-multiplication we get, (a-8)2 = (a-3)3 2a – 16 = 3a – 9 2a – 3a = -9 + 16 -a = 7 a = -7 Let us verify the given equation now, (a-8)/3 = (a-3)/2 By substituting the value of ‘a’ we get, (-7 – 8)/3 = (-7 – 3)/2 -15/3 = -10/2 -5 = -5 Hence, the given equation is verified.

Answer»

(a-8)/3 = (a-3)/2

By using cross-multiplication we get,

(a-8)2 = (a-3)3

2a – 16 = 3a – 9

2a – 3a = -9 + 16

-a = 7

a = -7

Let us verify the given equation now,

(a-8)/3 = (a-3)/2

By substituting the value of ‘a’ we get,

(-7 – 8)/3 = (-7 – 3)/2

-15/3 = -10/2

-5 = -5

Hence, the given equation is verified.

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