6x - 2y = 2 -----*
9x - 3y = 1 -----**
Take * eqn
6x - 2y = 2
y = 6x - 2
2
y = 3x - 1 ------***
Take eqn *** substitute in eqn **
9x - 3(3x - 1) = 1
9x - 9x + 3 = 1
0x = -2
This equation has no solution since all values cancel each other. That is to substitute,or eliminate will result in 0 value of x or y and the graph won't intersect.