+2y = 2
( 2x + 4y = -8

Step-by-step explanation:

4

y

=

2

−

2

x

⇒

y

=

1

2

−

1

2

x

Now we need to plot two or three points that lie on the line:

We need to find  

y

at some  

x

values:

At  

x

=

1

,  

y

=

1

2

−

(

1

2

⋅

1

)

=

1

2

−

1

2

=

0

At  

x

=

−

1

,  

y

=

1

2

−

(

1

2

⋅

−

1

)

=

1

2

+

1

2

=

1

Hence these are two points that lie on the line:

(

1

,

0

)

and  

(

−

1

,

1

)

enter image source here

Hence connecting them up to give a line:

enter image source here

Now we can do this whole procces for the second line, graphing them on the same graph we see:

enter image source here

They are the same line!  

−−−−−−−−−−−−−−−−−−−−−  

When we deal with these roblems, the solution is where the lines intersect, where they meet

They meet at all points, as they are the same:

The solutions to this system is all the points that lie on

→

2

x

+

4

y

=

2

Answer link