# SOLUTION: Solve each of the following systems by substitution. 11. 4x – 12y = 5 -x + 3y = -1

Algebra ->  -> SOLUTION: Solve each of the following systems by substitution. 11. 4x – 12y = 5 -x + 3y = -1       Log On

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 Question 123356: Solve each of the following systems by substitution. 11. 4x – 12y = 5 -x + 3y = -1 Answer by jim_thompson5910(29613)   (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 Multiply both sides by the LCM of 12. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver) Distribute and multiply the LCM to each side Combine like terms on the left side Add 15 to both sides Combine like terms on the right side Simplify Since this equation is never true for any x value, this means there are no solutions.