Substitution method y= 3x+1 5x + 2 y =13 Solve:

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Substitution method y= 3x+1 5x + 2 y =13 Solve: Do you have an equation already solved for y or x? 5x + 2 y =13

Substitute expression for y = 3x+1 3x+1 5x + 2 ( ) =13 y 5x + 2(3x+1)=13

5x + 2(3x+1)=13 5x + 6x + 2 =13 11x + 2 =13 11x = 11 x = 1 1 -2 11 Solution: ( , ) 5x + 2(3x+1)=13 5x + 6x + 2 =13 Distributive Property 11x + 2 =13 Combine Like Terms Subtraction property of equality -2 11x = 11 Division property of equality 11 x = 1

3x+1 y= 5x + 2 y =13 y= 3 ( ) +1 y= 3 + 1 y= 4 1 1 4 Solution: ( , ) Original system: 3x+1 y= Substitute value of x into one of the original equations 5x + 2 y =13 y= 3 ( ) +1 y= 3 + 1 y= 4

y= 3x+1 Check! 5x + 2 y =13 5( ) + 2( ) = 13 5 + 8 = 13 13 = 13 1 1 1 4 4 Solution: ( , ) Original system: y= 3x+1 Check! 5x + 2 y =13 5( ) + 2( ) = 13 5 + 8 = 13 13 = 13

11-16-16: Algebra 1. Game plan: Work on Do now from last lesson (4-3) Go over Homework 4-3 Discuss the Project ( pairs only) Homework: Practice review for quiz. Must becompleted. Quiz on lesson 1, 2 and 3 next block.