Bell Ringer 2 Solve the following system of equations by graphing: a. x + y = 4 3x + 3y = 12 b. 3x + 2y = 10 2x + 3y = 10 Homework 6.2 due Monday: Pg. 347 349 ( 8 48, every 4th) 1 2 Lesson Objectives: Solve system of equations by using substitution. 3 Steps for solving by substitution: 1st Solve one of the equations for one of the variables. 2nd Substitute your new equation into the other equation that you did not use for the variable you solved for. Then solve for the given variable. 3rd Substitute your answer into one of the equations and solve for the other variable. 4th Write the solution as an ordered pair. (x, y) 4 Solve by Substitution: a. y = 2x + 1 3x + y = 9 b. y = 4x 6 5x + 3y = 1 5 6 Solve by Substitution: a. x + 2y = 6 3x 4y = 28 b. 4x + 5y = 11 y 3x = 13 7 No solution or Infinite Solution: a. y = 2x 1 6x + 3y = 12 b. 2x y = 8 y = 2x 3 c. 4x 3y = 1 6y 8x = 2 8
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