Question 143902



Start with the given system of equations:


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




{{{3x-9y=4}}}  
{{{-1(3x-9y)=-1(5)}}}  Multiply the second equation (both sides) by {{{-1}}}





Distribute and multiply


{{{3x-9y=4}}}
{{{-3x+9y=-5}}}



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


{{{(3x-3x)+(-9y+9y)=4-5}}}


Combine like terms and simplify




{{{cross(3x-3x)+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.