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Solve the simultaneous equations for x and y: 3x+2y = 14 and 5x-y = 6

3x + 2y = 14 -> 15x - y = 6 -> 2Answer: x = 2 and y =4Solution:multiply both sides of equation 2 by 2: 10x - 2y = 12add this to equation 1: 3x + 10x + 2y -2y = 14 +12simplify: 13x = 26divide by 13: x = 2substitute x = 2 into equation 1: 3(2) + 2y = 14subtract the 6 (3*2): 2y =8divide by 2: y=4

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