Question

The graph of the following system of equations is
2x + y = 6
6x + 3y = 18

Overlapping lines
Parallel lines
Intersecting lines

Answer 1

y = -2x + 6
y = -2x + 6

Overlapping Lines

Answer 2

Overlapping

Answer 3

how do you figure that out?

Answer 4

If you can get one of the equations by multiplying the other one by a number they overlap.
In this case, the second equation is 3 times the first equation.

Answer 5

same co-efficient

Answer 6

Alternatively you can solve for y, and if the equations are the same when you solve for y, they overlap.

Answer 7

if you simplify the 2nd equation you get it the same as of the 1st equation..
so they r the same lines...and hence overapping

Answer 8

*overlapping

Answer 9

okay, thanks!

Answer 10

yay