Question 146405



Start with the given system of equations:


{{{system(4x-8y=1,4x-8y=2)}}}




{{{4x-8y=1}}} 
{{{-1(4x-8y)=-1(2)}}}  Multiply the bottom equation (both sides) by {{{-1}}}





Distribute and multiply


{{{4x-8y=1}}}
{{{-4x+8y=-2}}}



Now add the equations together. In order to add 2 equations, group like terms and combine them


{{{(4x-4x)+(-8y+8y)=1-2}}}


Combine like terms and simplify




{{{cross(4x-4x)+0y=-1}}} Notice how the x terms cancel out




{{{0=-1}}} Simplify



Since this equation is <b>never</b> true regardless of what x or y is, there are no solutions. So this system is inconsistent.