solve by elimination method 2x+5y=17 ,4x+7y=25
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y=3,x=1.,,,....,,,...
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Solution :-
◘ 2x + 5y = 17 and 4x + 7y = 25 by elimination method.
2x + 5y = 17 . . . . (1)
4x + 7y = 25 . . . . (2)
❃ Multiply equation (1) by 2, we get
4x + 10y = 34 . . . . (3)
4x + 7y = 25 . . . . .(4)
❖ Adding (3) and (4) we get,
4x + 10y = 34
4x + 7y = 25
(-) (-) (-)
_______________
3y = 9
y = 9/3
y = 3
✯ Substituting the value of y = 3 in equation (1) we get,
✭ 2x + 5y = 17
➞ 2x + 5(3) = 17
➞ 2x + 15 = 17
➞ 2x = 17 - 15
➞ 2x = 2
➞ x = 2/2
➞ x = 1
∴ The value of x = 1, y = 3 is the solution of the system of the given equations.
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