*mple 12 : Use elimination method to find all possible solutions of the following
de air of linear equations :
Оe
2x + 3y=8
(1)
4x + y = 7
(2)
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0
Answer:
No soln.
Explanation:
2x + 3y = 8 ......(1)
4x + 6y = 7 .....(2)
Step 1 : Multiply Equation (1) by 2 and Equation (2) by 1 to make the coefficients of x equal. Then we get the equations as :
4x + 6y = 16 ......(3)
4x + 6y = 7 .........(4)
Step 2 : Subtracting Equation (4) from Equation (3),
(4x – 4x) + (6y – 6y) = 16 – 7
i.e., 0 = 9, which is a false statement.
Therefore, the pair of equations has no solution.
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