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

Answer 1

@ranga can you please help me with this problem?

Answer 2

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 ... ?

Answer 3

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

Answer 4

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..

Answer 5

Oh I see, thank you! :)

Answer 6

yw