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  • 15-06-2018
  • Mathematics
contestada

Solve the system of equations.

y=x+5
y=x2+5x−7

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altavistard
altavistard altavistard
  • 15-06-2018
Please use " ^ " to denote exponentiation:  y=x^2+5x−7.

Borrow "x+5" from the first equation and replace y in the second with that:

x+5 = x^2 + 5x - 7.  Then x^2 + 5x - 7 - x - 5 = 0, or x^2 + 4x -12 = 0.

This is easily factored:  (x-2)(x+6)=0, so that x=2 and x=-6.

Using y = x+5, find y for x=2 and then y for x=6.
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