SOLUTION: Solving Non-Linear Systems?
x^2+y^2=35
4x^2-9y^2=36
Please show step by step. Thank You.
---Jawairia N.
Algebra.Com
Question 698848: Solving Non-Linear Systems?
x^2+y^2=35
4x^2-9y^2=36
Please show step by step. Thank You.
---Jawairia N.
Found 2 solutions by Simnepi, Alan3354:
Answer by Simnepi(216) (Show Source): You can put this solution on YOUR website!
To solve equations of this type just think of the squared terms as being linear terms(if that makes sense!)
x^2 + y^2 = 35 Equation (1)
4x^2 - 9y^2 = 36 Equation (2)
Rearranging (1) gives
x^2 = 35 - y^2 Equation (3)
Substitute this value into (2) giving
4(35 - y^2) - 9y^2 = 36
Therefore
140 - 4y^2 -9y^2 = 36
Simplifying and gathering terms to either side gives
-13y^2 = -104
therefore
y^2 = 8
Substitute this value into (1) giving
x^2 + 8 = 35
Therefore
x^2 = 27
now the values of x and y are
y = and x =
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solving Non-Linear Systems?
x^2+y^2=35
4x^2-9y^2=36
===============
The other tutor got the right values, but there are 4 combinations, 4 intersections.
Use plus and minus for the x & y values.
RELATED QUESTIONS
The problem reads:
Solve. x^2 - 4x = 3.
Please show the step by step process to... (answered by jim_thompson5910)
how do u solve 10+1/3 (1 +x) +{2-(4x-7)} thank you .. please show step by... (answered by deborabr)
can you show the following equations step by step and provide an answer (solving systems... (answered by mananth)
9y^2-48y-36
show each... (answered by unlockmath,MathLover1)
I need help solving the following non-linear systems please!!
x^2+y^2=25
y=x^2-5... (answered by stanbon)
s=n/2(a+L); for L please show me how to solve this step by step.. thank... (answered by checkley71,edjones)
Can you please show me step by step how to simplify this equation by removing factors of... (answered by Fombitz)
x + 5/6 = 3 1/2
can you please show me step by step to solving this... (answered by Alan3354,solver91311)
Please show step by step in solving proportion problems 1/8 : 2/3 : : 75 :... (answered by srinivas.g,MathTherapy)