Complete the following table.
Solve by elimination:

Operations	Equations	Labels
 	
	Equation 1
Equation 2
[Drop Down 1]	
	New Equation 2
Add Equation 1 and New Equation 2	[Drop Down 2]	 

Divide by [Drop Down 3]	[Drop Down 4]	 
Solve for y	
	 
Drop Down 1_____
Drop Down 2_____
Drop Down 3_____
Drop Down 4_____

To help solve the system of equations by elimination and complete the table, I need the specific system of equations you're working with. However, I will provide a general step-by-step method for solving a system using elimination. Once you give the equations, I can update the drop-down items accordingly.

Here’s the general structure:

### Step 1: Label the equations
Let the two equations be:

1. Equation 1: \( a_1x + b_1y = c_1 \)
2. Equation 2: \( a_2x + b_2y = c_2 \)

### Step 2: Adjust the equations to eliminate one variable (Drop Down 1)
We multiply one or both equations by a constant to make the coefficients of either \(x\) or \(y\) the same, so we can eliminate that variable by addition or subtraction. 

- **Drop Down 1**: Multiply Equation 2 by a constant to match a variable's coefficient with Equation 1.
  
### Step 3: Add or subtract the equations (Drop Down 2)
Add or subtract the equations to eliminate one variable:

- **Drop Down 2**: Indicate whether the equations are added or subtracted.

### Step 4: Solve for one variable (Drop Down 3 and Drop Down 4)
After elimination, you’ll get a new equation with one variable. You solve for that variable by dividing both sides by its coefficient.

- **Drop Down 3**: The coefficient you divide by.
- **Drop Down 4**: The variable you're solving for (either \(x\) or \(y\)).

### Step 5: Solve for the remaining variable

Once you find one variable (e.g., \(y\)), substitute it back into one of the original equations to find the other variable (e.g., \(x\)).

---
Could you provide the specific system of equations you are working on? That will allow me to give a more detailed and tailored answer to fill out the drop-downs. 

**Related questions**:
1. What is the system of equations you are solving?
2. Would you like help solving the system step by step?
3. Is there a particular variable you prefer to eliminate first?
4. Are both equations in standard form, or should we rearrange them?
5. Do you need clarification on elimination methods?

**Tip**: When eliminating, it’s often easier to eliminate the variable with the smallest coefficients to avoid large numbers or fractions.

Complete the following table. Solve by elimination:
Operations	Equations	Labels

Equation 1
Equation 2
[Drop Down 1]
New Equation 2
Add Equation 1 and New Equation 2	[Drop Down 2]

Divide by [Drop Down 3]	[Drop Down 4]
Solve for y

Drop Down 1_____
Drop Down 2_____
Drop Down 3_____
Drop Down 4_____

Learn how to solve a system of linear equations using the elimination method. Follow step-by-step instructions, including multiplying equations to equalize coefficients, adding or subtracting them, and solving for variables. Suitable for students in Grades 8-10.

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