SOLUTION: Hello, I worked this problem and only got half credit.
How can I work this as a systems of equations
x^2+y^2=25
5=x+y
This is what I did
x=5-y
(y-5)^2+y^2=25
2y-y^2-25=0
Algebra.Com
Question 139467This question is from textbook College Algebra
: Hello, I worked this problem and only got half credit.
How can I work this as a systems of equations
x^2+y^2=25
5=x+y
This is what I did
x=5-y
(y-5)^2+y^2=25
2y-y^2-25=0
This question is from textbook College Algebra
Found 2 solutions by checkley75, solver91311:
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
x^2+y^2=25
5=x+y
x=5-y
(5-y)^2+y^2=25
25-10y+y^2+y^2=25
2y^2-10y=0
2y(y-5)=0
2y=0
y=0 answer.
y-5=0
y=5 answer.
x=5-0
x=5 answer.
x=5-5
y=0 answer.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Think about what you would expect to get before you start working on anything. is a circle centered at the origin with a radius of 5. can be written as which is a straight line with a slope of -1 and a y-intercept of 5. So we have a straight line and a circle. You have one of three possible outcomes for such a situation. The line intersects the circle in two places, the line is tangent to the circle so it intersects in only one place, or the line doesn't intersect at all.
Given that, your solution method was correct up to the point where you expanded the binomial and collected like terms. Your algebraic manipulation was faulty.
, so you should have gotten to
So, or . From here you can calculate the two x-coordinates to complete your points of intersection.
The fact that you substituted instead of was an error but not one that would have an impact on the result. , and since you were squaring that quantity, the sign wouldn't matter in the final analysis. I can't for the life of me figure out how you got from to , so my only advice is to go back and thoroughly review the FOIL process for expanding binomials.
RELATED QUESTIONS
Hello, I worked this problem and only got half credit.
How can I work this as a systems... (answered by jim_thompson5910)
Please help me solve this application of systems of linear equations problem:
Each... (answered by ankor@dixie-net.com,cahlove)
Hello. I am having trouble with graphing systems of equations.
How would I being to... (answered by mananth)
I am having trouble understanding, "solving systems of equations by graphing."
Ex:... (answered by KnightOwlTutor)
Can you please tell me if i got these correct?
Im doing a practice test to study for my... (answered by Edwin McCravy,solver91311)
hello. Can someone please help me solve this equation, i do not understand how to work it (answered by Alan3354)
How do I solve this problem using system of equations?
x^2 + y^2 = 25
y^2 + x =... (answered by funmath)
Adam is half as old as Bob and three times as old as Cindy. If the sum of their ages is... (answered by jst_kidding)
i need to solve this systems of equations using substitution
X^2+Y^2=25... (answered by KMST)