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Problem of the Day

Problem of the Day. Solve the following system algebraically, using substitution: y = - x – 7 2x – 6y = 12. Solving Algebraically by Elimination. I sure do love that trusty substitution!. Look for a pair of matching opposites. x + 3y = 8 6x – 3y = 27. +. 7x = 35. 7. 7.

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Problem of the Day

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  1. Problem of the Day Solve the following system algebraically, using substitution: y= - x – 7 2x – 6y = 12

  2. Solving Algebraically by Elimination I sure do love that trusty substitution! Look for a pair of matching opposites x + 3y = 8 6x – 3y = 27 + 7x = 35 7 7 But sometimes there’s an easier way! x + 3y = 8 x = 5 5 + 3y = 8 (5, 1) 3y = 3 y = 1

  3. Problem of the Day y= - x – 7 2x – 6y = 12 What the deuce!? Mwahahahaha! Try shoveling a sidewalk with that thing buddy!

  4. Anyway, where were we? If you don’t have matching opposites, you can make them match. 4( ) 2x + y = 3 7x – 4y = 18 8x + 4y = 12 7x – 4y = 18 Find an LCM to distribute

  5. Steps to Solving by Elimination Look for equal opposites or a pair that’s easy to manipulate Step 1 Distribute the coefficient you need across one or both equations to make equal opposites Step2 Add equations together and cancel pair Step3 Step4 Solve for one variable Plug answer back in to find other variable Step5

  6. Practice 3x + 4y = 1 2x + 4y = 6 3x + 2y = -1 4x – 5y = -32

  7. Solving Equations Algebraically Using Elimination Look for ___________________________________________________ x + 3y = 8 6x – 3y = 27 If you don’t have matching opposites, you can make them match: _________________________ ________________________________________________________________________ 2x + y = 3 7x – 4y = 18 Steps to solving systems by ELIMINATION: Step 1: _______________________________________________________________________ _______________________________________________________________________ Step 2: _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ Step 3: _______________________________________________________________________ Step 4: _______________________________________________________________________ Step 5 : _______________________________________________________________________ _______________________________________________________________________ 3x + 4y = 1 3x + 2y = -1 2x + 4y = 6 4x – 5y = -32

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