Is the system of equations consistent and independent, consistent and dependent, or inconsistent? y=−3x+12y=−6x+2

(x,y)=(-22/69 , 2/23)

Y=6x+2
3x+12y=6x+2
Simplify the expression

-6x+y=2
-3x+12y=2
Multiply both sides of the equation by

-6x+y=2
6x-24y=-4
eliminate at least one variable by adding the equation

-23y=-2
Divide both sides

y=2/23
Substitute the value of y

-6x +2/23 =2
Solve the equation

x=-22/69
The possible solution of the system is the ordered pair

(x,y)=(-22/69, 2/23)
Check the solution

2/23=3x(-22/69)+12x 2/23=6x(-22/69)+2
Simplify

2/23=2/23=2/23
The ordered pair is a solution

Solution
(x,y)=(-22/69 , 2/23)