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Solving Systems of Equation Using ELIMINATION a b c d e Solving Systems by Using Elimination! Put the steps in the correct order! Then add the two equations together. One of the variables should be eliminated! Write the ordered pair! It's your ANSWER! Take that answer and plug it back intoone of the original equations to find the other variable. Solve for the first variable. Make sure one of the sets of variables has opposite coefficients.You may have to multiply one or both equations by a number to make this happen. e, a, c, d, e d, a, e, c, b d, c, a, e, b e, c, a, d, b First, make sure that one set of variables has opposite coefficients. Fill in all the blanks, then press "ok" { (-4) + 5y = 1 -2x - 5y = 11 -x + 5y = 1 y = answer + -2x - 5y = 11 -x + 5y = 1 ( , ) x = = 12 Solve { -2x + 2y = 8 4x - 2y = 6 Answer ( , ) Sometimes, you will have to multiply one of the equations by a number to get one set of "opposite variables." { What should you multiply the second equationby to make the x variable "opposite variables?" 3x - 4y = -1 x - 6y = -5 -6 3 -3 -4 After multiplying the second equation by -3, what does the second equation look like? { 3x - 4y = -1 x - 6y = -5 -3x - 18y = -5 -3x + 18y = -5 -3x + 18y = 15 -3x - 18y = 15 Solve this system. { 3x - 4y = -1 x - 6y = -5 ( , ) { Solve. 3x - y = 11 5x + 3y = 9 ( , ) Sometimes, you must multiply both equations in order to get "opposite variables". Multiply as indicated: 3(-2x + 7y = -8) { 2(3x - 2y = 12) -2x + 7y = -8 3x - 2y = 12 + Solve for y. -6x + 21y = -24 6x - 4y = 24 the x-coordinate is the y-coordinate is Then solve for x. { -3x + 5y = -16 Solve. -5x - 4y = -2 ( , ) Solve. { -6x + y = 11 2x + 3y = 13 ( , ) { Solve. 6x + 4y = 6 x - 4y = -13 ( , ) Solve. { -2x - 4y = -12 2x + 3y = 9 ( , ) Solve. { ( , ) 2x - y = 6 x + 4y = 12 Is (5, -2) a solution of { 3x + 4y = 7 x - 2y = 9 Yes No ? Is (-1, 3) a solution of Yes No { -4x + 3y = 13 15x + 3y = -6 ? Jeff sells a total of 30 adult and children's tickets for $102. If children's tickets cost $2.50 and adult tickets cost $4,how many of each ticket did he sell? # of children's tickets # of adult tickets Have a good day! |