Question 175923


Start with the given system of equations:

{{{system(x-y=3,-6x+6y=17)}}}



{{{6(x-y)=6(3)}}} Multiply the both sides of the first equation by 6.



{{{6x-6y=18}}} Distribute and multiply.



So we have the new system of equations:

{{{system(6x-6y=18,-6x+6y=17)}}}



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



{{{(6x-6y)+(-6x+6y)=(18)+(17)}}}



{{{(6x+-6x)+(-6y+6y)=18+17}}} Group like terms.



{{{0x+0y=35}}} Combine like terms.



{{{0=35}}}Simplify.



Since {{{0=35}}} is <font size="4"><b>NEVER</b></font> true, this means that there are no solutions. 



So the system is inconsistent.