Question 207946


Start with the given system of equations:

{{{system(3x-11y=9,-9x+33y=18)}}}



{{{3(3x-11y)=3(9)}}} Multiply the both sides of the first equation by 3.



{{{9x-33y=27}}} Distribute and multiply.



So we have the new system of equations:


{{{system(9x-33y=27,-9x+33y=18)}}}



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-33y)+(-9x+33y)=(27)+(18)}}}



{{{(9x+-9x)+(-33y+33y)=27+18}}} Group like terms.



{{{0x+0y=45}}} Combine like terms.



{{{0=45}}}Simplify.



Since {{{0=45}}} is <font size="4"><b>never</b></font> true, this means that there are no solutions. 



So the system is inconsistent.