Question 146579

Start with the given system

{{{x+3y=5}}}
{{{x=6-3y}}}




{{{6-3y+3y=5}}}  Plug in {{{x=6-3y}}} into the first equation. In other words, replace each {{{x}}} with {{{6-3y}}}. Notice we've eliminated the {{{x}}} variables. So we now have a simple equation with one unknown.



{{{6=5}}} Combine like terms on the left side



{{{0=5-6}}}Subtract 6 from both sides



{{{0=-1}}} Combine like terms on the right side



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