Question

Solve the following system using the elimination method.Enter your answer as an ordered pair in the form (x,y) if there is one, unique solution. Enter All if there are are infinitely many solutions and enter None if there are no solutions. 3x-8y=-1-6x+16y=2

Answer 1

Given:

`\begin{gathered} 3x-8y=-1\ldots\ldots\ldots(1) \\ -6x+16y=2\ldots\ldots\ldots(2) \end{gathered}`

To find the solutions:

Multiply by 2 in equation (1) we get,

`6x-16y=-2\ldots\ldots\ldots(3)`

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

`0=0`

Therefore, the system has infinitely many solutions.

So, the answer is All.