Give the solution to the system of equations. x^2+y^2=5, y=3x-5

coexpennan 2020-10-27 Answered
Give the solution to the system of equations.
x2+y2=5,y=3x5
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

grbavit
Answered 2020-10-28 Author has 109 answers
Step 1
Give the solution to the system of equations.
x2+y2=5,y=3x5
Step 2
Given
x2+y2=5...(i)
y=3x-5...(ii)
Step 3
Substituting (ii) in (i) and solving we get
x2+y2=5...(i)
y=3x-5...(ii)
x2+(3x5)2=5
x2+(3x)2+(5)22(3x)(5)=5
x2+9x2+2530x=5
x2+9x2+2530x5=55
x2+9x2+2530x5=0
10x230x+20=0
10(x23x+2)=0
x23x+2=0
x22xx+2=0
x(x2)1(x2)=0
(x2)(x1)=0
x2=0orx1=0
x=2orx=1
Step 4
Plugging x=1 and x=2 in (ii) we get
y=3x-5
at x = 1
y=3(1)-5
y=35
y=2
at x = 2
y=3(2)-5
y=65
y=1
Hence(1,-2) and (2,1)
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-11-08 Author has 2070 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more