Question 444501
(1) {{{4x=6-2y}}}
(2) {{{6x+3y=-9}}}
Add {{{2y}}} to both sides of (1)
(1) {{{ 4x + 2y = 6}}}
(2) {{{ 6x + 3y = -9}}}
Divide both sides of (1) by {{{2}}}
Divide both sides of (2) by {{{3}}}
(1) {{{ 2x + y = 3}}}
(2) {{{ 2x + y = -3}}}
These equations have no solution because
the line are parallel and do not intersect
here is a plot:
{{{ graph( 400, 400, -10, 10, -10, 10, -2x + 3, -2x - 3) }}}