Using the elimination method solve
7x-3y = 18
6x+7y= 25
The answer should be (3,1)
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Solution :-
◘ 7x - 3y = 18 and 6x + 7y = 25 by elimination method.
7x - 3y = 18 . . . . (1)
6x + 7y = 25 . . . . (2)
❖ Multiply equation (1) by 6 and (2) by 7, we get
42x - 18y = 108 . . . . (3)
42x + 49y = 175 . . . . (4)
❖ Adding (3) and (4) we get,
42x - 18y = 108
42x + 49y = 175
(-) (-) (-)
________________
- 67y = - 67
y = - 67/- 67
y = 1
✯ Substituting the value of y = 1 in equation (1) we get,
★ 7x - 3y = 18
➞ 7x - 3(1) = 18
➞ 7x - 3 = 18
➞ 7x = 18 + 3
➞ 7x = 21
➞ x = 21/7
➞ x = 3
∴ The value of x = 3, y = 1 is the solution of the system of the given equations.
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