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Substitution

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**Take OUT the variable and PUT in the new expression**

y = 4x + 1 2x – y = 9 y = -2x -3 y = 6x + 1 y = 4x + 1 2x – y = 9 y = -2x - 3 y = 6x +1 2x – (4x + 1) = 9 -2x – 3 = 6x + 1

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**Take OUT the variable and PUT in the new expression**

y = 4x + 1 2x – 2y = 9 x = -2x -3 y = 6x + 1 y = 4x + 1 2x – 2y = 9 x= -2x - 3 y= 6x +1 2x – 2(4x + 1) = 9 y = 6(-2x – 3) + 1

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**Write the NEW equation after you substitute.**

Your Turn! Write the NEW equation after you substitute.

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y = 6x – 11 -2x – 3y = -7 -2x – 3(6x-11) = -7

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2x – 3y =-1 y = x - 1 2x – 3(x-1) = -1

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y = -3x +5 5x – 4y = -3 5x – 4(-3x + 5) = -3

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**(-5x-17) = -x – 1 or (-x – 1) = -5x - 17**

y = -x -1 Y = -5x - 17 (-5x-17) = -x – 1 or (-x – 1) = -5x - 17

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y = -2 4x – 3y = 18 4x – 3(-2) = 18

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x= -2y x – 2y = -13 -7(-2y + 11) – 2y = -13

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y = -5x – 21 y = 4x +6 (-5x - 21) = 4x + 6 or (4x + 6) = -5x - 21

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y = 1/2x – 2 -5x + y = -2 -5x + (1/2x-2) = -2

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x = -3y x – 3y = -15 -3(-3y + 1) – 3y = -15

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MULT. INTEGERS 1. IF THE SIGNS ARE THE SAME THE ANSWER IS POSITIVE 2. IF THE SIGNS ARE DIFFERENT THE ANSWER IS NEGATIVE.

MULT. INTEGERS 1. IF THE SIGNS ARE THE SAME THE ANSWER IS POSITIVE 2. IF THE SIGNS ARE DIFFERENT THE ANSWER IS NEGATIVE.

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