Explanation

Given equations:

1. x - 2y = 5

2. 2x - y = 6

Step-by-Step Solution

Step 1: Solve one equation for one variable

From equation (2):

2x - y = 6

⇒ y = 2x - 6

Step 2: Substitute into the other equation

Substitute y = 2x - 6 into equation (1):

x - 2(2x - 6) = 5

x - 4x + 12 = 5

-3x + 12 = 5

Step 3: Solve for x

-3x = 5 - 12

-3x = -7

x = 7/3

Step 4: Solve for y

Substitute x = 7/3 back into y = 2x - 6:

y = 2(7/3) - 6

y = 14/3 - 6

y = 14/3 - 18/3

y = -4/3