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vito45454 vito45454
  • 15-06-2016
  • Mathematics
Answered

What is one of the solutions to the following system?


{ y-3=x

x^2-6x+13=y


a)(–5, 2)

b)(–2, 1)

c)(2, 5)

d)(8, 5)

Verified Answer :

bholat74 bholat74
  • 15-06-2016

2x – y = 2
–x + 5y = 3

This is a system of equations. I will use substitution.-x + 5y = 3
-x = 3 - 5y
x = 5y - 3

2x -y = 2 (substitute the top part into here)
2(5y-3) - y = 2
10y - 6 - y = 2
9y = 8
y = 8/9
x = 5y - 3 = 5(8/9) - 3 = 13/9 = 1.444444 repeating

Since there is a solution of (13/9, 8/9), there is 1 solution
The answer is A. Keep in mind, answer choice C is impossible; you can never have a system of equations with 2 solutions :)

Answer Link
Muirheada8
Muirheada8 Muirheada8
  • 12-11-2021

The Answer is A = (-5,2)

Answer Link

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