Question

Solve the system by graphing or using a table.
2x+4y=12
x+y=2

Answer 1

(-2, 4)

Explanation:

Answer 2

Answer: x = -2 and y = 4

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\\\Rightarrow\ y=(12-2x)/(4)\\ \Rightarrow\ y=3-(x)/(2)\\\text{Put x=0, then} \\y=3-(0)/(2)=3\\\Rightarrow\ \text{Put x=6}\\y=3-(6)/(2) =3-3=0`

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

From equation 2 ,we get

`y=2-x\\\text{Put x=0}\\y=2-0=2\\\text{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.