Question

What should be done to these equations to solve the system of equations by elimination?
`2x + y = 12 \\ 5x - 3y = -3`A: Divide the first equation by 2.B: Divide the second equation by 2.C: Multiply the first equation by 3.D: Multiply the second equation by 3.

Answer 1

C: Multiply the first equation by 3.

Explanation:

We have the following the system of equations:

`\begin{gathered} 2x+y=12 \\ 5x-3y=-3 \end{gathered}`

To solve a system of equations by means of the elimination method, it must coincide in such a way that when adding equation 1 and equation 2, one of the variables are eliminated, that is, they are canceled.

Therefore, the option in this case is to multiply the first equation by 3, in this way, the first equation remains as 3y and the second remains as -3y, since when adding them, it is 0 and the variable y is canceled.