Solve the following system of equations: x - 2y = 6 and 2x - 4y = 10

Solution:

Given the system of equations are

x - 2y = 6

It can be written as

x = 2y + 6 ------------ (1)

2x - 4y = 10 ------------------ (2)

Substitute (1) in (2),

2(2y + 6) - 4y = 10

Using the multiplicative distributive property

4y + 12 - 4y = 10

So we get

0 = 10 -12

0 = -2

Therefore, the system of equations has no solution.

Solve the following system of equations: x - 2y = 6 and 2x - 4y = 10

Summary:

The system of equations x - 2y = 6 and 2x - 4y = 10 has no solution.