Explanation

Given the equations:

1. 7x - 4y = 10

2. 2x + 3y = 65

Let's solve them using elimination or substitution. Multiplying equation 1 by 3 and equation 2 by 4 gives us a way to eliminate y:

1. 21x - 12y = 30

2. 8x + 12y = 260

Adding both equations:

29x = 290

x = 290 / 29

x = 10