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Question
Solve the equations x + y = 4 and 2x - y = 5 using the method of reduction.
Solution
The given equations can be considered in the matrix equation as
AX = B
i.e `[(1,1), (2,-1)] [(x), (y)] = [(4),(5)]`
Apply R2 - 2R1
`[(1,1), (0,-3)] [(x),(y)] = [(4),(-3)]`
`[(x + y), (-3y)] = [(4),(-3)]`
By equality of matrices
x + y = 4, -3y = -3
x = 3 y = 1
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