solve the following linear equation for the unknown variable and verify the solutions 3y-5/5 -2(y-5)=y-1/2
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Step-by-step explanation:
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Step-by-step explanation:
Given :-
[(3y-5)/5] - [2(y-5)] = (y-1)/2
To find :-
Find the value of y ?
Solution :-
Given equation is [(3y-5)/5] - [2(y-5)] = (y-1)/2
=> [(3y-5)-(2×5(y-5))] /5 = (y-1)/2
=> [(3y-5)-10(y-5)]/5 = (y-1)/2
=> (3y-5-10y+50)/5 = (y-1)/2
=> (-7y+45)/5 = (y-1)/2
On applying cross multiplication then
=> 2(-7y+45) = 5(y-1)
=> -14y+90 = 5y-5
=> -14y-5y = -5-90
=> -19y = -95
=> 19y = 95
=> y = 95/19
=> y = 5
Therefore , y = 5
Answer:-
The value of y for the given problem is 5
Check:-
If y = 5 then LHS of the equation
[(3y-5)/5] - [2(y-5)]
=> [3×5-5)/5] -[2(5-5)]
=> [(15-5)/5]-[2(0)]
=> (10/5)-0
=> 2
RHS = (y-1)/2
=> (5-1)/2
=> 4/2
=> 2
LHS = RHS is true for y = 5
Verified the given relations in the given problem.
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