Question

In the following system of equations, by what number would you multiply the entire first equation to be able to eliminate the x term in the second equation?A. 3B. -3C 4D. -4

Answer 1

Given the system of equations:

`\begin{cases}2x+2y=2 \\ 6x+4y=12\end{cases}`

To eliminate the x term we need to multiply the first equation by a number such that the x term is -6x. This number is -3:

`\begin{cases}-6x-6y=-6 \\ 6x+4y=12\end{cases}`