SOLUTION: I'm sturggling with this problem. Any help would be greatly appreciated.
Solve the following non-linear system by substitution.
x^2+y^2=16
x-2y=0
Algebra.Com
Question 115081: I'm sturggling with this problem. Any help would be greatly appreciated.
Solve the following non-linear system by substitution.
x^2+y^2=16
x-2y=0
Found 2 solutions by stanbon, checkley71:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the following non-linear system by substitution.
x^2+y^2=16
x-2y=0
-----------
x = 2y
Substitute into the 1st equation to solve for "y":
(2y)^2 + y^2 = 16
4y^2 + y^2 = 16
5y^2 = 16
y^2 = 16/5
------------
y = 4/sqrt(5) = (4/5)sqrt(5)
OR
y = (-4/5)sqrt5
-----------------
Substitute into x = 2y to get:
x = 2[(4/5)sqrt5] = (8/5)sqrt(5)
OR
x = 2(-4/5)sqrt5 = (-8/5)sqrt(5)
=====================
Cheers,
Stan H.
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
x-2y=0 or x=2y
now substitute 2y for x in the other equation & solve for y.
(2y)^2+y^2=16
4y^2+y^2=16
5y^2=16
y^2=16/5
y=4/sqrt5 answer.
x-2(4/sqrt5)=0
x-8/sqrt5=0
x=8/sqrt5 answer.
RELATED QUESTIONS
Solve the porportion
16. 40/m = 32/16
Any help with this equation would be... (answered by checkley71)
how do i solve this system by the substitution method?
x-2y = 4
y=3x-22
any help... (answered by TimothyLamb)
Solve the inequality:
29. 1 - 6d < d +8
Any help with this problem would be greatly (answered by jim_thompson5910)
Solve the poportion
17. 9/8 = p/48
Any help with this problem would be... (answered by jim_thompson5910,MathLover1)
I need help solving this non-linear equation using the elimination method...please help.... (answered by KMST)
The problem states to solve.
4/(m^2-7) = 1
I came up with m = + or - sqrt of 11.
(answered by edjones)
I need help with this problem:
3^log base 3 of 8
Any help would be greatly... (answered by josgarithmetic,josmiceli)
Find the unit rate.
4. 85 m/5 sec
Any help with this equation would be... (answered by checkley71)