How many solutions does the system of equations have?

6x+y=2

-18x+3y=12

See if they are paralell, if they are, there are no solutions

thn see if they are the same line, if they are, there is infinite soutions

so

6x+1y=2

-18x+3y=12

divide 2nd equation by - 3

6x-y=4

compare

6x+y=2 and

6x-y=4

they are actually perpenduclar

mean 1 soltuions

if yo wantedsoltion

add

6x+y=2

6x-y=4 +

12x+0y=6

12x=6

x=1/2

6x+y=2

6 (1/2) + y=2

3+y=2

y=-1

x=1/2

y=-1

(1/2,-1)

1 soluiton

There will be one solution. To solve that:

1. Get the y alone by switching the places.

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

-18x+3y=12 > 3y=12-18x > Then divide 3 on each number > y=4-6x

After doing that, you can solve this in graphing or algebra way.

Ima do the algebra way:

SO we have 2 system of equations. Now pick one equestion.

I will pick, y=2-6x. Now Ima replace the Y with the other equation y=4-6x >

4-6x=2-6x.

Now solve. And get > 0 aka Infinite Solution.