Question 698466
{{{5x + 3y > -6}}} ...the graph is a line and you graph it as equality

{{{5x + 3y=-6}}} find two points that lie on a line

easiest way is to find {{{x}}} and {{{y-intercept}}}

set {{{x=0}}} and find {{{y-intercept}}}

{{{5*0 + 3y=-6}}}

{{{ 3y=-6}}}

{{{ y=-2}}}

set {{{y=0}}} and find {{{x-intercept}}}

{{{5x + 3*0=-6}}}

{{{ 5x=-6}}}

{{{ x=-6/5}}}

now plot these points and draw a dashed line through because you have inequality {{{5x + 3y > -6}}} and shade all area above the line

*[invoke plot_any_inequality "5x + 3y > -6", -10, 10, -10, 10, 600, 600]

do same with  {{{2y + x < 6 }}}


set {{{x=0}}} and find {{{y-intercept}}}

{{{2y + 0 =6}}}

{{{ 2y=6}}}

{{{ y=3}}}

set {{{y=0}}} and find {{{x-intercept}}}

{{{2*0 + x =6}}}

{{{ x=6}}}

*[invoke plot_any_inequality "2y + x < 6", -10, 10, -10, 10, 600, 600]


and as a system, solution will be shaded area that overlaps


{{{ graph( 600, 600, -10, 10, -10, 10, 2y + x < 6, 5x+3y>-6) }}}