InterviewSolution
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InterviewSolution
| 1. |
3x+y-4i=5+(2x-3y) |
| Answer» 2 algebraic methods (elimination and substitution) and graphical method.Elimination2x + 3y = 5So 6x + 9y = 15 (equation 1)3x + y = 46x + 2y = 8 (equation 2)(6x + 9y) - (6x + 2y) = 15 - 87y = 7y = 1 (equation 3)Substitute y = 1 into equation 2,3x + (1) = 4x = 1(x, y) = (1, 1)Substitution2x + 3y = 5 (equation 1)3x + y = 4, so y = 4 - 3x (equation 2)Substitute equation 2 into equation 1,2x + 3(4 - 3x) = 52x + 12 - 9x = 512 - 7x = 512 - 5 = 7x7x = 7x = 1 (Equation 3)Substitute equation 3 into equation 2,y = 4 - 3(1) = 1(x, y) = (1, 1)Graphical methodFind the x and y intercept of each line, draw the lines on the same set of cartesian coordinates, and look at where the lines cross.(x, y) = (1, 1) | |