Find the common solution.
3x + 2y = 4
2x - y = 5
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3x + 2y = 4 ....... Equation (1)
2x - y = 5 .......Equation (2)
Multiplying the equation (2) by 2, we get,
4x - 2y = 10 .....Equation (3)
Adding equation (1) and (3),
3x + 2y = 4
+ 4x - 2y = 10
_______________
7x = 14
x = 2
Therefore, substituting x = 2 in equation (2), we get,
2(2) - y = 5
4 - 5 = y
y = -1
Therefore, solution set = { 2, -1 }
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