Please help me solve the system of equations?

enter image source here

1 Answer
Mark D.
May 22, 2018
  1. #x=10, y=5#
    and
    #x=-10, y=-5#

2.#x=8, y=2#
and
#x=-8, y=-2#

Explanation:

1) #x-2y=0 => x=2y#

Substitute this into #x^2+y^2=125#

#(2y)^2+y^2=125#

#4y^2+y^2=125#

#5y^2=125#

#y^2=125/5#

#y^2=25#

#y=\pm5#

2). x=4y

Substitute this into #x^2-y^2=60#

#(4y)^2-y^2=60#

#16y^2-y^2=60#

#15y^2=60#

#y^2=60/15#

#y^2=4#

#y=\pm2#

Related questions
Impact of this question
276 views around the world
You can reuse this answer
Creative Commons License