Question

Solve the following system using the elimination method. Enter your answer as anordered pair in the form (x, y) if there is one, unique solution. Enter All if there areinfinitely many solutions and enter None if there are no solutions.3x– 6y = -3-6x +12y = 6Please see the picture

Answer 1

Given that,

`\begin{gathered} 3x-6y=-3-----(1) \\ -6x+12y=6----(2) \end{gathered}`

Multiply the equation (1) by 2 we get,

`6x-12y=-6----(3)`

Adding equation (3) and (2) we get,

`0=0`

Since we get 0=0, it has infinitely many solution.Hence the system has infinitely many solution.

Answer is: All.