Answer: (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)