Question 646217
{{{ 3-2x=5+3y }}}
Subtract {{{ 5 }}} from both sides
{{{ -5 + 3 - 2x = 3y }}}
Rearrange the left side
{{{ -2x - 5 + 3 = 3y }}}
{{{ -2x - 2 = 3y }}}
Now turn it around
{{{ 3y = -2x - 2 }}}
Divide both sides by {{{ 3 }}}
{{{ y = (-2/3)*x - 2/3 }}} answer
Here's the plot:
{{{ graph( 400, 400, -3, 3, -3, 3, (-2/3)*x - 2/3 ) }}}