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1 Elimination Press Ctrl-A G Dear ©2009 – Not to be sold/Free to use Stage 5 Year 9
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2 The Elimination MethodMethod 1. Make sure the coefficient of one pronumeral are the same. 2. Eliminate one pronumeral by adding or subtracting the equations. 3. Solve the equation to find the value of one pronumeral. 4. Substitute to find the value of other pronumeral. 5. Write answer as co-ordinate pair.
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3 The Elimination Method 2x - 3y + 5 = 0 3x – y - 3 = 0 Simultaneous Solution (2,3) ___ 1 ___ 2 1 x3 x3 x3 x3 ___ 3 9x – 3y - 9 = 0 3 - 2 7x - 14 = 0 +14 +14 7x = 14 ÷7 ÷7 x = 2 [Solve] [Substitute in 1 ] 3 2 – y - 3 = 0 3 x 2 – y - 3 = 0 6 – y - 3 = 0 - y + 3 = 0 y = 3
![3 The Elimination Method 2x - 3y + 5 = 0 3x – y - 3 = 0 Simultaneous Solution (2,3) ___ 1 ___ 2 1 x3 x3 x3 x3 ___ 3 9x – 3y - 9 = x - 14 = x = 14 ÷7 ÷7 x = 2 [Solve] [Substitute in 1 ] 3 2 – y - 3 = 0 3 x 2 – y - 3 = 0 6 – y - 3 = 0 - y + 3 = 0 y = 3](http://images.slideplayer.com./27/9008841/slides/slide_3.jpg "3 The Elimination Method 2x - 3y + 5 = 0 3x – y - 3 = 0 Simultaneous Solution (2,3) ___ 1 ___ 2 1 x3 x3 x3 x3 ___ 3 9x – 3y - 9 = x - 14 = x = 14 ÷7 ÷7 x = 2 [Solve] [Substitute in 1 ] 3 2 – y - 3 = 0 3 x 2 – y - 3 = 0 6 – y - 3 = 0 - y + 3 = 0 y = 3")
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