Question

Which of these steps will eliminate a variable in this system?3x-3y=66x+9y=3OA. Multiply the first equation by 3. Then subtract the second equationfrom the first.B. Multiply the first equation by 2. Then add the equations.C. Multiply the first equation by 2. Then subtract the second equationfrom the first.OD. Multiply the second equation by 2. Then subtract the secondequation from the first.

Answer 1

The given system of equation is:

`\begin{gathered} 3x-3y=6 \\ 6x+9y=3 \end{gathered}`

Multiply through the first equation by 2:

`\begin{gathered} 6x-6y=12 \\ 6x+9y=3 \end{gathered}`

Subtract the second equation from the first equation to get:

`-15y=9`

Therefore, the steps that will eliminate the variable x are:

Multiply the first equation by 2. Then subtract the second equation from the first.

Choice C