# SOLUTION: 6x-y=-2 -18x+3y=4

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 Algebra: Systems of equations that are not linear Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Systems-of-equations Question 127287: 6x-y=-2 -18x+3y=4Answer by jim_thompson5910(28717)   (Show Source): You can put this solution on YOUR website! Start with the given system of equations: Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y. So let's isolate y in the first equation Start with the first equation Subtract from both sides Rearrange the equation Divide both sides by Break up the fraction Reduce --------------------- Since , we can now replace each in the second equation with to solve for Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown. Distribute to Multiply Combine like terms on the left side Subtract 6 from both sides Combine like terms on the right side Since this equation is never true for any x value, this means there are no solutions. So the system is inconsistent.