Determine is the solution set for the system of equations shown is the empty set contains one point or is infinite X+2y=0; 2x+4y

Question

mr_godi [17]

3 years ago

10

Determine is the solution set for the system of equations shown is the empty set contains one point or is infinite X+2y=0; 2x+4y

=0

Mathematics

1 answer:

Sedaia [141] · Answer 1 · 2022-02-28T05:47:02+03:00

We can use elimination to solve the system:

x+2y=0 Multiply the first equation by negative 2 so we can eliminate
2x+4y=0

-2-4y=0 Add them, -2X+2X= 0, -4Y+4Y= 0
2x+4y=0

0=0

Since 0 is indeed equal to 0 you have INFINITELY MANY SOLUTIONS.

you could also put both equation in slope intercept form and see if the slopes and Y-intercept are the same.