Question 62223
1. {{{ x = y + 5 }}}
2. {{{ 2x - 2y = 12 }}}
Plug equation one into equation 2
{{{ 2(y + 5) - 2y = 12 }}}
Distribute
{{{ 2y + 10 - 2y = 12 }}}
Combine like terms
{{{ 10 = 12 }}}
Because this does not yeild a value for y, but rather a false statement, there is no solution.  These two lines are Parallel.