Final answer:
To eliminate a variable in a system of equations, we can use the method of elimination.
Step-by-step explanation:
In order to eliminate a variable in a system of equations, we can use the method of elimination. This involves manipulating the equations so that when they are added or subtracted, one of the variables is eliminated.
Looking at the given options:
- A: Multiply the top equation by 3, multiply the bottom equation by -2, then add the equations.
- B: Multiply the top equation by 3, multiply the bottom equation by 4, then subtract the bottom equation from the top equation.
- C: Multiply the top equation by 4, multiply the bottom equation by 3, then add the equations.
Option A is correct because by multiplying the top equation by 3 and the bottom equation by -2, we can create coefficients that will allow us to add the equations together and eliminate the variable.