solve the pair of linear eq using suitable methods
y-4x=1
6x-5y=9
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Question
solve the pair of linear eq. using suitable methods , y-4x=1 ; 6x-5y=9
Solution
Given:-
- 4x - y = -1 ---------(1)
- 6x - 5y = 9 -------(2)
Find:-
- value of x and y .
Explanation
Substitution method
by equation, (1),
➠ x = (y-1)/4 ---------(3)
substitute value of x in equ(2)
➠ 6* (y-1)/4 - 5y = 9
➠ 3*(y-1)/2 - 5y = 9
➠ 3y - 3 - 10y = 18
➠ -7y = 21
➠ y = -21/7
➠ y = -3
Keep value of y in equ(3),
➠ x = (-3-1)/4
➠ x = -4/4
➠ x = -1
Thus:-
- Value of x = -1
- Value of y = -3
_____________________
Verification
Keep value of x and y in equ(1),
➠ 4 * (-1) - (-3) = -1
➠ - 4 + 3 = -1
➠ -1 = -1
L.H.S = R.H.S
that's proved .
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