find the solution of X in the following equation given in the image below
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Step-by-step explanation:
Given :-
x-(x-1)/3 = (x+1)/4
To find :-
Find the solution ?
Solution :-
Given equation is x-(x-1)/3 = (x+1)/4
=> [3x-(x-1)]/3 = (x+1)/4
=> (3x-x+1)/3 = (x+1)/4
=> (2x+1)/3 = (x+1)/4
On applying cross multiplication then
=> 4(2x+1) = 3(x+1)
=> 8x+4 = 3x+3
=> 8x-3x = 3-4
=> 5x = -1
=> x = -1/5
Therefore, x = -1/5
Answer:-
The solution for the given problem is -1/5
Check:-
If x = -1/5 then
LHS = x-(x-1)/3
=> (-1/5)-[(-1/5)-1]/3
=> (-1/5)-[(-1-5)/5]/3
=> (-1/5)-(-6/5)/3
=> (-1/5)-(-6/15)
=>(-1/5)-(-2/5)
=> (-1/5)+(2/5)
=> (-1+2)/5
=> 1/5-----(1)
RHS = (x+1)/4
=> [(-1/5)+1]/4
=> [(-1+5)/5]/4
=> (4/5)/4
=> 4/(5×4)
=>1/5-----(2)
From (1)&(2)
LHS = RHS is true for x = -1/5
Verified the given relations in the given problem.
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