solve the following equation by transposition method and check the result 3 x minus 1 upon 2 + 2 is equal to x minus 3 upon 2 + 4
Answers
Given : (3x - 1)/2 + 2 = (x - 3)/2 + 4
To Find : Value of x and verify
Solution:
(3x - 1)/2 + 2 = (x - 3)/2 + 4
Subtract 2 from both sides
=> (3x - 1)/2 + 2 -2 = (x - 3)/2 + 4 - 2
=> (3x - 1)/2 = (x - 3)/2 + 2
Multiplying both sides by 2
=> (3x - 1) = (x - 3) + 4
=> 3x - 1 = x - 3 + 4
=> 3x - 1 = x + 1
adding 1 both sides
=> 3x = x + 2
Subtracting x from both sides
=> 2x = 2
Dividing by 2 on both sides
=> x = 1
(3x - 1)/2 + 2 = (x - 3)/2 + 4
LHS
= ( 3(1) - 1)/2 + 2 = 2/2 + 2 = 1 + 2 = 3
RHS
= (1 - 3)/2 + 4 = (-2/2) + 4 = - 1 + 4 = 3
LHS = RHS = 3
Verified
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