Question 183032
{{{x=4y+8}}} Start with the first equation.



{{{x-4y=8}}} Subtract {{{4y}}} from both sides.




So we have the system of equations:


{{{system(x-4y=8,2x-8y=-3)}}}



{{{-2(x-4y)=-2(8)}}} Multiply the both sides of the first equation by -2.



{{{-2x+8y=-16}}} Distribute and multiply.



So we have the new system of equations:


{{{system(-2x+8y=-16,2x-8y=-3)}}}



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



{{{(-2x+8y)+(2x-8y)=(-16)+(-3)}}}



{{{(-2x+2x)+(8y+-8y)=-16+-3}}} Group like terms.



{{{0x+0y=-19}}} Combine like terms.



{{{0=-19}}} Simplify.



Since {{{0=-19}}} is <font size="4"><b>NEVER</b></font> true, this means that there are no solutions. 


So the system is inconsistent.