SOLUTION: Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution". 10x - 10y = 1 x = y - 3

Algebra ->  Linear-equations -> SOLUTION: Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution". 10x - 10y = 1 x = y - 3      Log On


   

Question 561576: Solve the equations by substitution. If the equations are inconsistent and the solution is an empty set, write "no solution".
10x - 10y = 1
x = y - 3
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
10x - 10y = 1 
        x = y - 3

The second equation is solved for x, So
substitute (y - 3) for x in the first equation

      10x - 10y = 1
10(y - 3) - 10y = 1
 10y - 30 - 10y = 1
            -30 = 1

They y's all canceled out and left a false numerical equation, 
-30 in not equal to 1, so there is no solution.  The system is called an
inconsistent system of equation.

Edwin