This document provides steps to solve a system of equations using substitution. The system is Y=5x+11 and Y=10x-4. It substitutes the equation Y=5x+11 into Y=10x-4 to get -5x=-4+11, then solves to get x=3. Checking this back in the original equations confirms the solution is (3,26).

1. Solving Systems of Equations using Substitution By: Mary Thomas

3. Y=10x-4

4. 5x+11=10x-4

5. -5x -5x

7. +4 +4

9. 5 5

10. 3=x

11. (3, )

13. Y=10(3)+4=26

14. ( , 26)

16. (3,26)