Use addition method to find intersection point coordinates for each pa.docx
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rtodd63Suivre
28 Jan 2023•0 j'aime•2 vues
Use addition method to find intersection point coordinates for each pa.docx
28 Jan 2023•0 j'aime•2 vues
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Use addition method to find intersection point coordinates for each pair of lines. 5x+6y=14 -3y+x=7 -x+y=1 Solution You can use substitution or elimination. METHOD #1: Elimination 3x-4y=16 5x-6y=14 Multiply the first equation by 5. 5(3x-4y)=5(16) 15x - 20y = 80 Multiply the second equation by -3. -3(5x-6y)=-3(14) -15x + 18y = -42 Add the 2 modified equations together. 15x - 20y = 80 -15x + 18y = -42 -------------------------------- -2y = 38 y = -38/2 y = -19 Plug this solved y value into one of the equations to find x. 3x-4y=16 3x-4(-19) = 16 3x + 76 = 16 3x = -60 x = -60/3 x = -20 Answer: x = -20, y = -19 -------------------------------------- .
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Use addition method to find intersection point coordinates for each pa.docx
- 1. Use addition method to find intersection point coordinates for each pair of lines. 5x+6y=14 -3y+x=7 -x+y=1 Solution You can use substitution or elimination. METHOD #1: Elimination 3x-4y=16 5x-6y=14 Multiply the first equation by 5. 5(3x-4y)=5(16) 15x - 20y = 80 Multiply the second equation by -3. -3(5x-6y)=-3(14) -15x + 18y = -42 Add the 2 modified equations together. 15x - 20y = 80 - 15x + 18y = -42 -------------------------------- -2y = 38 y = -38/2 y = -19 Plug this solved y value into one of the equations to find x. 3x-4y=16 3x-4(-19) = 16 3x + 76 = 16 3x = -60 x = -60/3 x = -20 Answer: x = -20, y = -19 --------------------------------------