At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

solve the system by the substitution method.
xy=9
x^2+y^2=82


Sagot :

xy=9 and
x^2+y^2=82
we manipulate the first equation to get
xy=9
divide both sides by x
y=9/x
subtitute y=9/x into x^2+y^2=82
x^2+(9/x)^2=82
x^2+81/x^2=82
multiply both sides by x^2 to get rid of the denomator (bottom number)
x^4+81=82
subtract 81 from both sides
x^4=1
find the fourth root of 1 and get
x=1
subtitute into origoal equation  xy=9 and get
(1)y=9
y=9