Question 165439

Start with the given system

{{{-9x-3y=22}}}
{{{y=-3x-6}}}




{{{-9x-3(-3x-6)=22}}}  Plug in {{{y=-3x-6}}} into the first equation. In other words, replace each {{{y}}} with {{{-3x-6}}}. Notice we've eliminated the {{{y}}} variables. So we now have a simple equation with one unknown.



{{{-9x+9x+18=22}}} Distribute



{{{18=22}}} Combine like terms on the left side



{{{0=22-18}}}Subtract 18 from both sides



{{{0=4}}} Combine like terms on the right side



Since this equation is <font size=4><b>never</b></font> true for any x value, this means there are no solutions.