Which of these strategies would eliminate a variable in the system of equations? 6x+5y=1

6x-5y=7

A) Multiply the top equation by 777, then subtract the bottom equation from the top equation.

B) Subtract the bottom equation from the top equation.

C) Add the equations.

B) Subtract the bottom equation from the top equation

C) Add the equations.

Step-by-step explanation:

We have to eliminate a variable in the system of equations

6x + 5y = 1 ... (1) and

6x - 5y = 7 ... (2)

Since the y-term on both the equations are the same but opposite in sign, therefore the strategy to eliminate y variable from the system of equations (1) and (2) is to add the equations. (Answer)

Again, the x-terms are the same and with a similar sign, therefore, by subtracting the bottom equation from the top equation we can also eliminate the x-variable. (Answer)