Question #6444010Fill in the Blank
Algebra-1
Question
Solve the system of equations: . The value of is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a system of linear equations using the elimination method.
This question tests the student's ability to solve a system of linear equations using the elimination method.
Key Concept Explanation
The solution to a system of equations is an ordered pair that satisfies all the equations simultaneously. In this case, we need to find the value of that makes both equations true.
The solution to a system of equations is an ordered pair that satisfies all the equations simultaneously. In this case, we need to find the value of that makes both equations true.
Step-by-step Solution
1. Start with the given system of equations:
2. Multiply the second equation by 2 to align the coefficients of :
3. Add the first equation to the modified second equation to eliminate :
1. Start with the given system of equations:
2. Multiply the second equation by 2 to align the coefficients of :
3. Add the first equation to the modified second equation to eliminate :
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