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To make the \(-10\) in the first row (associated with \(x\)) into zero using row operations, follow these steps in the context of the simplex tableau:

### Step-by-Step Explanation
1. **Identify the Pivot Row**:  
   The pivot row is the second row (associated with \(y\)) because the column under consideration has \(1\) as its pivotal element. 

2. **Create the Row Operation**:  
   To eliminate \(-10\) in the first row using the second row, multiply the second row by \(10\) and add it to the first row. This gives:  
   \[
   R_1 \to R_1 + 10R_2
   \]

3. **Execute the Row Operation**:  
   Each element in the first row is updated using the operation \(R_1 + 10R_2\).

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### Related Questions:
1. What is the importance of selecting the correct pivot element in the simplex method?
2. How does row reduction maintain the feasibility of the simplex tableau?
3. What does a pivot column signify in the simplex method?
4. How can degeneracy in a simplex tableau affect the process?
5. What is the relationship between simplex method row operations and basic variables?

### Tip:
Always ensure the pivot column has a strictly positive value to maintain feasibility when selecting the pivot element!

In the process of using the simplex method to solve a linear programming maximization problem the table below was obtained. What row operation should be performed to make the -10 into a zero?

Learn how to perform row operations in the simplex method to eliminate the -10 in a linear programming tableau. This step-by-step explanation covers the pivot row, row transformation, and the corresponding mathematical operation. Ideal for Grades 11-12 and undergraduate students.

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