Question 74513
<pre>

substitution method
2x-y=-5
x+5y=14


Here are the Steps using Substition method
1. In either equation, solve for one variable in terms of the other.
    2x - y = -5
        -y = -2x - 5
         y = 2x + 5
          

2. Substitute for that variable in the other equation. Solve.
                x + 5y = 14
           x + 5(2x+5) = 14
          x + 10x + 25 = 14
              11x + 25 = 14
                   11x = -11
                     x = -1



3. Substitute the result from step 2 in either equation. Solve for the other variable.
          2x - y = -5, x = -1
       2(-1) - y = -5
          -2 - y = -5
              -y = -3
               y = 3


4. Check the solution in both original equations.
   x = -1 and y = 3

                   2x - y = -5
              2(-1) - (3) = -5
                   -2 - 3 = -5
                       -5 = -5  ----> True



               x + 5y = 14
          (-1) + 5(3) = 14
              -1 + 15 = 14
                   14 = 14 --------> true


Therefore the solution is (-1, 3)