Simultaneous Equations – Linear & Non-Linear Algebraically

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Presentation transcript:

Simultaneous Equations – Linear & Non-Linear Algebraically – Higher – GCSE Questions These questions are the same format as previous GCSE exams. COPY means they use the exact same numbers as the original GCSE question. Otherwise, they are clone questions using different numbers. The worksheets are provided in a variety of sizes.

Printing To print handouts from slides - Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides - Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts - Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

GCSE GCSE Edexcel Higher: May 2017 Paper 1, Q20 Solve algebraically the simultaneous equations x2 + y2 = 25 y – 3x = 13 1 Solve algebraically the simultaneous equations x2 + y2 = 25 y – 3x = 13 (Total for Question 1 is 5 marks) (Total for Question 1 is 5 marks)

GCSE Edexcel Higher: May 2017 Paper 1, Q20 Solve algebraically the simultaneous equations x2 + y2 = 25 y – 3x = 13 (Total for Question 1 is 5 marks)

GCSE y = 13 + 3x y2 = (13 + 3x) (13 + 3x) = 169 + 39x + 39x + 9x2 Edexcel Higher: May 2017 Paper 1, Q20 1 Solve algebraically the simultaneous equations x2 + y2 = 25 y – 3x = 13 y = 13 + 3x y2 = (13 + 3x) (13 + 3x) = 169 + 39x + 39x + 9x2 x2 + (9x2 + 78x + 169) = 25 10x2 + 78x + 169 = 25 10x2 + 78x + 144 = 0 (5x + ) (x + ) 5x2 + 39x + 72 = 0 1, 72 2, 36 3, 24 4, 18 6, 12 8, 9 (5x + 24 ) (x + 3) = 0 x + 3 = 0 5x + 24 = 0 x = -3 5x = -24 substitute x = − 24 5 =−4 4 5 y – (3 x -3) = 13 y – (-9) = 13 y + 9 = 13 y = 4 x = -4.8 substitute y – (3 x -4.8) = 13 y – (-14.4) = 13 y + 14.4 = 13 y = -1.4 x = -4.8, y = -1.4 x = -3, y = 4 (Total for Question 1 is 5 marks)

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk