Question
Solve the following system of equations and find (x +
y): 2x + 3y = 17 4x − 5y = 1Solution
ATQ, From 2x + 3y = 17 ...(1) From 4x − 5y = 1 ...(2) From (1): 2x = 17 − 3y → x = (17 − 3y)/2 Substitute into (2): 4 × (17 − 3y)/2 − 5y = 1 2(17 − 3y) − 5y = 1 34 − 6y − 5y = 1 34 − 11y = 1 11y = 33 y = 3 Then x = (17 − 3×3)/2 = (17 − 9)/2 = 8/2 = 4 x + y = 4 + 3 = 7
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