Question 171661


Start with the given system of equations:

{{{system(4x-3y=1,-12x+9y=5)}}}



{{{3(4x-3y)=3(1)}}} Multiply the both sides of the first equation by 3.



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



So we have the new system of equations:

{{{system(12x-9y=3,-12x+9y=5)}}}



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



{{{(12x-9y)+(-12x+9y)=(3)+(5)}}}



{{{(12x+-12x)+(-9y+9y)=3+5}}} Group like terms.



{{{0x+0y=8}}} Combine like terms. Notice how the x terms cancel out.



{{{0=8}}}Simplify.



Since {{{0=8}}} is <font size="4"><b>NEVER</b></font> true, this means that there are no solutions. 



So the system is inconsistent.