Question 663284


Start with the given system of equations:

{{{system(3x+y=4,9x+3y=6)}}}



{{{-3(3x+y)=-3(4)}}} Multiply the both sides of the first equation by -3.



{{{-9x-3y=-12}}} Distribute and multiply.



So we have the new system of equations:

{{{system(-9x-3y=-12,9x+3y=6)}}}



Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:



{{{(-9x-3y)+(9x+3y)=(-12)+(6)}}}



{{{(-9x+9x)+(-3y+3y)=-12+6}}} Group like terms.



{{{0x+0y=-6}}} Combine like terms.



{{{0=-6}}}Simplify.



Since {{{0=-6}}} is <font size="4"><b>never</b></font> true, this means that there are no solutions. 


So the system is inconsistent.