Mateo plans to solve the system below using elimination. Which is a reasonable first step Mateo could take?

-x + 6y = 9
3x + 2y = 13

1 answer

A reasonable first step for Mateo to take in solving this system using elimination would be to multiply the first equation by 3 to eliminate the x variable.

This would result in the following system:

-3x + 18y = 27
3x + 2y = 13

Now, when these two equations are added together, the x variable will be eliminated, allowing Mateo to solve for y and then substitute that value back into one of the original equations to solve for x.