Question

Which of these strategies would eliminate a variable in the system of equations?

A) 26−5y=13

B) 430+2y=13

C) Both A and B

D) Neither A nor B

Answer 1

To eliminate a variable in a system of equations, we need to have an equation in which the variable is isolated on one side. Equation A, 26−5y=13, would eliminate a variable in the system of equations.

Step-by-step explanation:

To eliminate a variable in a system of equations, we need to have an equation in which the variable is isolated on one side. Let's analyze each equation:

A) 26−5y=13

B) 430+2y=13

In equation A, we can isolate the variable by subtracting 26 from both sides to get -5y = -13. The variable y is eliminated in this case.

In equation B, we can isolate the variable by subtracting 430 from both sides to get 2y = -417. The variable y is not eliminated in this case.

Therefore, the correct answer is A) 26−5y=13. This equation would eliminate a variable in the system of equations.