Question

Solve the elimination method

Answer 1

There is infinitely many solution of the form
`(x, (x-4)/(2) )`

Explanation:

Given:
`2x - 4y = 8\\\\3x - 6y = 12`

`2x - 4y = 8` ... (1st equation)

`3x - 6y =12` ... (2nd equation)

Dividing 1st equation by 2

`x - 2y = 4`

Dividing 2nd equation by 3

`x - 2y = 4`

These are same equation! And since they're the same equation, they'll both have exactly the same line on a graph. In other words, they'll overlap completely.

∴ There are infinitely many solutions of the form
`(x,(x-4)/(2))`