Answer:
Dependent
Step-by-step explanation:
[tex]y=-3x+4[/tex] and [tex]6x+2y=8[/tex]
Lets solve the second equation for y and then substitute it in first equation
[tex]6x+2y=8[/tex]
Subtract 6x on both sides
[tex]2y=-6x+8[/tex]
Divide by 2 on both sides
[tex]y=-3x+4[/tex]
Now we plug it in first equation for y
[tex]-3x+4=-3x+4[/tex]
Add 3x on both sides
[tex]4=4[/tex]
Both sides are same, they are equal. the system has infinite solutions.
They are said to be dependent
