Solve x - 2y = 6 and 3x - 6y = 18

Solution:

Given equations are x - 2y = 6 and 3x - 6y = 18

Let x - 2y = 6 --- [1]

and 3x - 6y = 18 --- [2]

Multiply eq[1] eqwith 3, we get

3(x - 2y) = 3(6)

3x - 6y = 18 --- [2]

We can see that, both the equations are the same.

We need at least 2 distinct equations to solve for two variables.

Hence, we have infinitely many solutions for the given pair of equations.

Solve x - 2y = 6 and 3x - 6y = 18

Summary:

By solving x - 2y = 6 and 3x - 6y = 18, we get infinitely many solutions.