Algebra-1

To solve the system of equations, let's use the elimination method:

Given the system:
 
2x + 2y = 10
 
2x - 3y = 5
 
Step 1: Eliminate one variable
To eliminate x, subtract the second equation from the first:

(2x + 2y) - (2x - 3y) = 10 - 5

This simplifies to:

5y = 5

Step 2: Solve ...