Question

Which of these strategies would eliminate a variable in the system of equations? 5x+3y=9 4x−3y=9 ​ A.Subtract the bottom equation from the top equation. B.add the equations. C.Subtract the top equation from the bottom equation.

Answer 1

To eliminate a variable in the given system of linear equations, we add the two equations together, which effectively cancels out the variable y, leaving an equation with only x to solve.

Step-by-step explanation:

The question from the student involves solving a system of linear equations by elimination. The provided equations are 5x + 3y = 9 and 4x - 3y = 9. To eliminate the variable y, we can add the two equations together. When we do so, we get:

5x + 3y = 9
+ 4x - 3y = 9
----------------
9x = 18

Upon adding, the y terms cancel out, and we are left with an equation in one variable (x) which we can solve. This corresponds to the answer choice option B.