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HELLO!!!! • Hopefully you were all so nice to the sub and smiled pretty. The video is having issues uploading so I have put the full notes I walk through on the video here. Please follow along click by click and take your own notes on the Notes file (print it out and use a pencil). The assignment we are doing is listed on the Unit 2 calendar if you want to be cool and do more math tonight. • The video is up and working on YouTube. Search KimSwindell and choose the substitution vide • See you tomorrow (or today if you are a procrastinator) • Again… DO NOT print this pp document. I will throw it away. Take your own notes.
Substitution • Steps • Solve one equation for x or y • Substitute your new equation into the other equation • Solve • Plug your answer into the equation you wrote in #1 and solve • CHECK!!! 2(3 – 3y) + 5y = –5 6 – 6y + 5y = –5 6 – y = –5 –y = –11 y = 11 Example 1 x = 3 – 3(11) x = 3 – 33 x = -30 2(-30) + 5(11) = -5 -30 + 3(11) = 3 (-30, 11)
Substitution • Steps • Solve one equation for x or y • Substitute your new equation into the other equation • Solve 3(2y + 4) – 6y = 8 6y + 12 – 6y = 8 12 = 8 Example 2 NEVER TRUE so No Solution
Substitution • Steps • Solve one equation for x or y • Substitute your new equation into the other equation • Solve 12x – 3(3+ 4x) = – 9 12x – 9 – 12x = – 9 – 9 = – 9 Example 3 ALWAYS TRUE so Infinite Solutions