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Name: ____________________ Date: ___________ Math 11 Principles Lesson 4 - 5.4: Solving Systems by Substitution First, let’s review the skill of “isolating a variable” Isolate/ Solve for “x”. a) x 6 y 2 b) 3x 2 y 8 Isolate/ Solve for “y”. a) 4 x y 11 b) 3x 2 y 8 In Section 5.2, a linear system was solved by adding or subtracting equations to eliminate one variable. In this section, variables will eliminated by isolating/solving one equation for ONE variable and then “SUBSTITUTING the result” into the other equation. Example 1: Solve the following system by substitution. 4x y 8 x 2 y 7 1 - Decide on a variable to ISOLATE in one of the equations. 2 - Then “substitute the result” into the other equation 3 - Then solve the one variable equation you just created. Example 2: Solve by substitution. 5x 3 y 5 2 x y 8 Example 3: Solve by substitution. Example 4: Solve by substitution. 2x – 4y = 10 y = 2x + 2 4x – 3y = -10 x y 1 4 3 Example 5: Solve by substitution. y 9 x2 y x3 Example 7: Solve by substitution. y x y x3 Assignment – page 325 #1a, 4, 5 Example 6: Solve by substitution. y x y x4