System of Equations-Elimination

Conquer systems of equations with the elimination method! Practice solving and mastering algebraic techniques.

Watch the video to see how elimination works! Steps:Look at X coefficients, Are they the same? Look at Y coefficients, Are they the same?If NO coefficients are the same, multiply 1 whole equation by a LCM to CREATE the same coefficient.Distribute multiplier by the whole equation.Now, with the same coefficients, do they have the same sign?If opposite signs (- +) then ADD If same signs (+ +) then SUBTRACTAfter subtracting or adding, one of the variables (x or y) should be eliminated.Solve for the remaining variableNow, plug in the value into one of the equations.Solve for the other variable.Answer in (x,y) form. Fill in the blanks to complete the statement. When a system of linear equations have the same coefficients, if the values are opposite signs, then add. If the values are same signs, then subtract. What steps go with which method? Sort the terms in either Substitution Method or Elimination Method Elimination Method Adding equations Subtracting equations Distribute Multiplier x coefficients are the same y coefficients are the same Substitution Method one variable value plugged into equation combining like terms What is the solution for the system of equations below?-4x -2y = -124x +8y = -24 Use the elimination method to solve the system of equations on a separate sheet of paper. Answer should be in (x,y) form. If it is needed, include what multiplier you chose. What is the solution for the system of equations below:x -y = 112x +y = 19 Use the elimination method to solve the system of equations. Answer should be in (x,y) form. If it is needed, include the multiplier you chose. Show ALL work. What is the solution for the system of equations below:8x + y = -16-3x + y = -5 Use the elimination method to solve the system of equations on a separate sheet of paper. Answer should be in (x,y) form. If it is needed, include the multiplier you chose. What is the solution to the system of equations below:5x + y = 910x - 7y = -18 Use the elimination method to solve the system of equations. Answer should be in (x,y) form. If needed, include the multiplier you chose. Show ALL work.