6. how many solutions does this system of linear
equations have? explain.
3y + 6x = 12
8x + 4y = 16
: )

Infinitely many solutions

Step-by-step explanation:

Let's take the first equation.

3y + 6x = 12

Now take common,

3( y + 2x ) = 12

So, y + 2x = 4

Lets take 2nd equation

4y + 8x = 16

Take common,

4(y + 2x) = 16

So, y + 2x = 4.

Two lines with same equation have infinitely many solutions. These two equations are the same so there are infinitely many solutions.