Final answer:
The appropriate first step for Vivi to solve the system of equations using elimination is Option 3: Multiply each term in the 2nd equation by 4. This will create an equation with a -4x term that will cancel out the 4x term in the first equation when added together.
Step-by-step explanation:
The first step Vivi could take to solve the system of equations using elimination would depend on making the coefficients of one of the variables the same so you can eliminate that variable by adding or subtracting the equations. Looking at the given system:
- 4x + 6y = -14
- -x + 3y = -10
Options 1 and 3 suggest multiplying the second equation by 2 and 4, respectively, to eliminate one variable. Multiplying the second equation by 2 would result in 2x + 6y = -20, which does not help eliminate any variable. However, multiplying it by 4 results in -4x + 12y = -40, and when this is added to the first equation, the x terms are eliminated. Therefore, Option 3 is the correct first step for elimination. Option 4 suggests that both options 1 and 3 could work, which is incorrect, as only option 3 allows for elimination in this case.