Process of elimination

6x+2y = 1

-6x-2y = - 1

Step-by-step explanation:

I don't know if this is what you are looking for but, I would use substitution to solve what x and y are

6x+2y = 1

is the same as - 6x-2y = - 1 because if you multiply everything by - 1 it will equal

6x+2y = 1

so now you have

6x+2y = 1

6x+2y = 1

I would set the equation equal to one variable and substitute.

6x+2y = 1 = 2y = 1 - 6x = y = (1/2) - (6x/2) = y = (1/2) - 3x

now plug in (1/2) - 3x in to one of the y's because they are the same equation

6x + (1/2) - 3x = 1

subtract 1/2

6x - 3x = 1/2

subtract the x's

3x = 1/2

now divide both sides by 3

x = (1/2) / 3

x = 1/6

now that you know what x equals, plug that into the equation and find y

6 (1/6) + 2y = 1

1 + 2y = 1

subtract 1

2y = 0

now divide to find y

y = 0/2

y = 0

so

x = 1/6 and y = 0