Question 179034


Start with the given system of equations:

{{{system(8x+2y=13,4x+y=11)}}}



{{{-2(4x+y)=-2(11)}}} Multiply the both sides of the second equation by -2.



{{{-8x-2y=-22}}} Distribute and multiply.



So we have the new system of equations:

{{{system(8x+2y=13,-8x-2y=-22)}}}



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



{{{(8x+2y)+(-8x-2y)=(13)+(-22)}}}



{{{(8x+-8x)+(2y+-2y)=13+-22}}} Group like terms.



{{{0x+0y=-9}}} Combine like terms.



{{{0=-9}}}Simplify.



Since {{{0=-9}}} is <font size="4"><b>never</b></font> true, this means that there are no solutions. So the system is inconsistent.