The system of equations
2x - y + 1 = 0 ...(1)
x + 2y - 6 = 0 ...(2)
has to be solved.
(1) - 2*(2)
=> 2x - 2x - y - 4y + 1 + 12 = 0
=> -5y = -13
=> y = 13/5
x...
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The system of equations
2x - y + 1 = 0 ...(1)
x + 2y - 6 = 0 ...(2)
has to be solved.
(1) - 2*(2)
=> 2x - 2x - y - 4y + 1 + 12 = 0
=> -5y = -13
=> y = 13/5
x = 6 - 2y = 6 - 26/5 = 4/5
To check the solution, substitute x and y in the equations and check the result.
2x - y + 1 = 2*(4/5) - (13/5) + 1 = 0
x + 2y - 6 = 4/5 + 26/5 - 6 = 0
The solution of the given system of equations is x = 4/5 and y = 13/5