2. Solve the system by graphing or using a table. 2x + 4y= 12
X+ y = 2
(-3,7)
(-2,4)
(-4,1)
infinitely many solutions

x = -2 and y = 4

Step-by-step explanation:

We have given a system of equations

2x + 4y =12   ...........(1)

and

x + y = 2         .............(2)

Now to plot them in graph we need to find the points of the above linear equations .

From equation 1  ,we get

4y=12-2x

Put x=0, then

Put x=6

So get the points (0,3) and (6,0).

From equation 2 ,we get

y=2-x

put x=0

y=2-0=2

put x=2

y=2-2=0

So we get the points (0,2) and (2,0).

So after plotting these points we get two lines intersecting at (-2,4).

Therefore our solution is x=-2 and y= 4.

the solution is 12x-6y