Solve the following simultaneous equations: 3x + 2y = 16 2x + 3y = 14

Answer: x = 4, y = 2

Method: Eq 1) 3x + 2y = 16 Eq 2) 2x + 3y =14

             Eq 1 x 2) 6x + 4y = 32 Eq 2 x 3) 6x + 9y = 42

            New Eq 2 - New Eq 1) 5y = 10, so y = 2

             Sub y into Eq 1) 3x + 4 = 16, 3x = 12, so x = 4

 

Answered by Elizabeth O. Maths tutor

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