What is the solution of the system defined by y= -x+5 and 5x + 2y = 14?

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asked May 10, 2017 63.6k views

1 Answer

Wayne Kuo · Answer 1 · 2017-05-16T01:21:28+0000

y = -x + 5
5x + 2y = 14

5x + 2(-x + 5) = 14
5x + 2(-x) + 2(5) = 14
5x - 2x + 10 = 14
3x + 10 = 14
- 10 - 10
3x = 4
3 3
x = 1¹/₃
y = -x + 5
y = -1¹/₃ + 5
y = 3²/₃
(x, y) = (-1¹/₂, 3²/₃)

What is the solution of the system defined by y= -x+5 and 5x + 2y = 14?

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