3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =

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Presentation transcript:

3x – 5y = 11 x = 3y + 1 Do Now

Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y = 2 Solution:(– 1,2)

Homework Solutions 8)2x + 3y = 13 y = 2x – 1 2x + 3(2x – 1) = 13 2x + 6x – 3 = 13 8x – 3 = 13 8x = 16 x = 2y = 2x – 1 y = 2(2) – 1 y = 3 Solution:(2,3)

Homework Solutions 10)3x – 2y = 9 y = 3 – x 3x – 2(3 – x) = 9 3x – 6 + 2x = 9 5x – 6 = 9 5x = 15 x = 3y = 3 – x y = 3 – (3) y = 0 Solution:(3,0)

Which method would you use? 1) y = 5x 2x + 3y = 34 2) c – 5d = 2 2c + d = 4

Elimination vs. Substitution Look at the equations you are given. Elimination is best when neither equation is solved for a variable. Substitution is best when one equation is solved for a variable.

1)7x + 2y = 5 2x + 3y = 16

2)7x – 2y = 5 x = 3y – 2

3)3x – 2y = 8 x = –5y – 3

The sum of two numbers is 48 and their difference is 24. What are the numbers? 4)

Three times one number added to another number is 18. Twice the first number minus the other number is 12. Find the numbers. 5)

Homework Worksheet pgs. 68 & 69 #’s 4 – 7, 9, 11 Permission Slips Due Tomorrow!!! Extra Help Thursday 2:00 – 3:00