angelliu11
angelliu11 angelliu11
  • 02-08-2017
  • Mathematics
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Solve the following system of equations algebraically. 2x = 5y + 8. 3x + 2y = 31

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amandareyes200osvxh8
amandareyes200osvxh8 amandareyes200osvxh8
  • 02-08-2017

x=−12.301587 and y= 31/ 2
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choixongdong
choixongdong choixongdong
  • 02-08-2017
2x = 5y + 8. (1st)
3x + 2y = 31 so 3x = -2y + 31 (2nd)

multiply (1st equation) by 3 and (2nd equation) by 2

6x = 15y + 24
6x = -4y + 62
-----------------------subtract
0 = 19y - 38
19y = 38
y = 2

2x = 5y + 8
2x = 5(2) + 8
2x = 18
x = 9

answer
solution (9, 2)
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