Question

2x + 3y = 2
x + 6y = 4

Answer 1

multiply the second one by \(-2\) and then add
first step is
\[2x+3y=2\\
-2x-12y=-8\]
at least that is one way to do it

Answer 2

2x + 3y = 2
x + 6y = 4

Muliply second equation by -2.
2x + 3y = 2
-2x - 12x =-8

Add the two equations.
-9y = -6

y = 2/3

Substitute y into the original equation.
2x + 3(2/3) = 2
2x + 2 = 2
- 2 -2
------------
2x = 0

x = 0


So,

x = 0
y = 2/3