5y - 3x = -203x - 3y = 1one can solve this problem two similar ways:#1 method is to arrange the equations so that one can eliminate one of the variable; thereby, isolating and solving for one of the variables. This problems lends itself nicely to this method:-3x + 5y = -203x - 3y = 1combine the like terms:2y = -19isolate y with by dividing by 22y/2 = - 19/2perform division operation:y = - 19/2now substitute the value of the y variable into the equations:3 x - 3 (-19/2) = 1distribute -3:3 x + 57/2 = 1eliminate 57/2 from the equation's left side:3x + 57/2 - 57/2 = 1 - 57/2simplify: 3x = 1 - 57/23x = 2/2 - 57/23x = -55/2isolate x with division operation or multiplying by inverse:3x(1/3) = -55/2(1/3)x = -55/6answer set is (-55/6, -19/2)
Apply Today and receive complimentary 6 month Premium subscription!
