3x+y-4i=5+(2x-3y)

2 algebraic methods (elimination and substitution) and graphical method. Elimination 2x + 3y = 5 So 6x + 9y = 15 (equation 1) 3x + y = 4 6x + 2y = 8 (equation 2) (6x + 9y) - (6x + 2y) = 15 - 8 7y = 7 y = 1 (equation 3) Substitute y = 1 into equation 2, 3x + (1) = 4 x = 1 (x, y) = (1, 1) Substitution 2x + 3y = 5 (equation 1) 3x + y = 4, so y = 4 - 3x (equation 2) Substitute equation 2 into equation 1, 2x + 3(4 - 3x) = 5 2x + 12 - 9x = 5 12 - 7x = 5 12 - 5 = 7x 7x = 7 x = 1 (Equation 3) Substitute equation 3 into equation 2, y = 4 - 3(1) = 1 (x, y) = (1, 1) Graphical method Find 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)