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Lesson 5-2 Solving Systems by Substitution

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Presentation on theme: "Lesson 5-2 Solving Systems by Substitution"— Presentation transcript:

1 Lesson 5-2 Solving Systems by Substitution
Obj: The student will be able to solve systems of linear equations in two variables by substitution HWK: p even, 17

2 Solving Systems of Equations by Substitution
Solve for one variable in at least one equation, if necessary Substitute the resulting expression into the other equation Solve that equation to get the value of the first variable Substitute that value into one of the original equations and solve Write the values from step 3 and 4 as an ordered pair (x, y) and check

3 Solve each system by substitution
Ex 1) y = x + 3 y = 2x + 5

4 Ex 2) x = 2y – 4 x + 8y = 16

5 Ex 3) 2x + y = -4 x + y = -7

6 Ex 4) 4y – 5x = 9 x – 4y = 11

7 Ex 5) One high speed Internet provider has a $50 setup fee and costs $30 per month. Another provider has no setup fee and costs $40 per month. In how many months will both providers cost the same? What will the cost be? If you plan to cancel in 1 year, which is the cheaper provider? Explain


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