Question #6444226Fill in the Blank
Algebra-1
Question
Solve the system using the elimination method: .The value of is ______.
Answer & Analysis
Analysis
Question Analysis
This question involves solving a system of linear equations using the elimination method.
The main focus is on using subtraction to eliminate since its coefficients are equal, then solving for .
Key Concept Explanation
When the coefficients of a variable in two equations are equal (e.g., in both equations here), subtracting the equations eliminates that variable. This reduces the system to a single-variable equation, making it solvable.
Step-by-Step Solution
1. Notice the coefficients of are both (equal). Subtract the second equation from the first to eliminate :
2. Simplify: →
This question involves solving a system of linear equations using the elimination method.
The main focus is on using subtraction to eliminate since its coefficients are equal, then solving for .
Key Concept Explanation
When the coefficients of a variable in two equations are equal (e.g., in both equations here), subtracting the equations eliminates that variable. This reduces the system to a single-variable equation, making it solvable.
Step-by-Step Solution
1. Notice the coefficients of are both (equal). Subtract the second equation from the first to eliminate :
2. Simplify: →
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