Answer:
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
[tex]y=\frac{12-2x}{4} \\y=3-\frac{x}{2} \\[/tex]
Put x=0, then
[tex]y=3-\frac{0}{2} =3\\[/tex]
Put x=6
[tex]y=3-\frac{6}{2}=3-3=0[/tex]
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.
