What is the maximum number of possible solutions for the system shown below?

x^2+4y^2=64
x+y=5

A. 2
B. 1
C. 3
D. 4

Question

What is the maximum number of possible solutions for the system shown below?

x^2+4y^2=64
x+y=5

A. 2
B. 1
C. 3
D. 4

anonymous · Answer

@ranga can you please help me with this problem?

reemii · Answer

each equation represents a curve/set of $\mathbb R^2$.
first one is the equation of ...?
second one is the equation of a line.
In how many points at most can a line intersect a ... ?

anonymous · Answer

Are there 4 solutions? Using this graph I see 4 different coordinates but it only intercepts the oval twice :o

anonymous · Answer

attachment

reemii · Answer

It's 2. The system tells you to look only at the ellipse and the line. Not the axis. The other two points are for decoration..

anonymous · Answer

Oh I see, thank you! :)

reemii · Answer

yw