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JustJas
JustJas JustJas
  • 29-06-2016
  • Mathematics
Answered

How do I solve this system of equations by substitution?

y - 3x = 2, y=(x + 1)^2 - 5

Verified Answer :

caylus
caylus caylus
  • 30-06-2016

Hello,

y-3x=2==>x=(y-2)/3
==>(x+1)²=((y-2)/3+1)²=(y+1)²/9

y=(x+1)²-5
==>y=(y²+2y1)/9 -5
==>y²-7y-44=0  ; Δ=7²+4*44=225=15²
==>y=(7+15)/2 or y=(7-15)/2

==>y =11 and x=(11-2)/3=3
 or y=-4  and x=(-4-2)/3=-2

sol={(3,11);(-2,-4)}


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