Question

A variable needs to be eliminated to solve the system of equations below. Choose the correct first step.

−33−9y=36
2−0y=12
a) Add to eliminate x.
b) Subtract to eliminate x.
c) Add to eliminate y.
d) Subtract to eliminate y.

Answer 1

To solve the system of equations, the correct first step is to add the equations to eliminate the y term. Adding the equations will eliminate the y term. Therefore, the correct first step is to add the equations.

Step-by-step explanation:

To solve the system of equations:

−33−9y=36

2−0y=12

The variable that needs to be eliminated is y.

To do this, we can choose the correct first step by adding or subtracting the equations.

Since we want to eliminate y, we need to choose an operation that will result in the cancellation of the y term.

Adding the equations will eliminate the y term. Therefore, the correct first step is to add the equations.