Question 318042


Start with the given system of equations:

{{{system(3x-6y=4,3x-6y=5)}}}



{{{-1(3x-6y)=-1(5)}}} Multiply the both sides of the second equation by -1.



{{{-3x+6y=-5}}} Distribute and multiply.



So we have the new system of equations:

{{{system(3x-6y=4,-3x+6y=-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:



{{{(3x-6y)+(-3x+6y)=(4)+(-5)}}}



{{{(3x+-3x)+(-6y+6y)=4+-5}}} Group like terms.



{{{0x+0y=-1}}} Combine like terms.



{{{0=-1}}}Simplify.



Since {{{0=-1}}} is <font size="4"><b>NEVER</b></font> true, this means that there are no solutions. 


So the system is inconsistent.