Question 82004
Solve the first equation for y


{{{2x-y=4 }}}


{{{-y=4-2x }}} Subtract 2x from both sides


{{{y=2x-4}}} Multiply both sides by -1 to make y positive. Now the equation is in {{{y=mx+b}}} form


Solve the second equation for y


{{{2x-y=6 }}}


{{{-y=6-2x }}} Subtract 2x from both sides


{{{y=2x-6}}} Multiply both sides by -1 to make y positive. Now the equation is in {{{y=mx+b}}} form


Now graph each equation


{{{ graph( 300, 200, -6, 5, -10, 10, 2x-4, 2x-6) }}} graph of {{{y=2x-4}}} (red) and {{{y=2x-6}}} (green)

Since they are parallel and never intersect, there are no solutions.