Question

Which solution method should be used to solve the system of equations?x-3y=72x-6y=12A. substitutionB. None of the aboveC. Elimination

Answer 1

Given the following System of equations:

`\begin{cases}x-3y=7 \\ 2x-6y=12\end{cases}`

You can use the method shown above to solve it:

1. You can multiply the first equation by -2.

2. Add both equations.

3. Then you must solve for the variable "y".

Then:

`\begin{gathered} \begin{cases}-2x+6y=-14 \\ 2x-6y=12\end{cases} \\ ----------- \\ 0x+0y=-2 \end{gathered}`

As you can notice, you can solve for any variable. Therefore, No solutions exist.

Based on the above, you can conclude that the System of equations can't be solved by any method.

The answer is: Option B (None of the above).