Question
Solve the following system of equations and find (x +
y): 2x + 3y = 17 4x β 5y = 1Solution
ATQ, From 2x + 3y = 17 ...(1) From 4x β 5y = 1 ...(2) From (1): 2x = 17 β 3y β x = (17 β 3y)/2 Substitute into (2): 4 Γ (17 β 3y)/2 β 5y = 1 2(17 β 3y) β 5y = 1 34 β 6y β 5y = 1 34 β 11y = 1 11y = 33 y = 3 Then x = (17 β 3Γ3)/2 = (17 β 9)/2 = 8/2 = 4 x + y = 4 + 3 = 7
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