Question #6443995Fill in the Blank
Algebra-1
Question
Given the system of equations: . The value of x is ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a system of linear equations using the elimination method. The equations have different coefficients, requiring careful manipulation to eliminate one of the variables.
This question tests the student's ability to solve a system of linear equations using the elimination method. The equations have different coefficients, requiring careful manipulation to eliminate one of the variables.
Key Concept Explanation
The key concept here is the elimination method, where we make the absolute values of the coefficients of one variable equal in both equations by multiplying, then add or subtract the equations to eliminate that variable.
The key concept here is the elimination method, where we make the absolute values of the coefficients of one variable equal in both equations by multiplying, then add or subtract the equations to eliminate that variable.
Step-by-step Solution
1. Multiply the first equation by 2:
2. Multiply the second equation by 4:
3. Add the two equations:
1. Multiply the first equation by 2:
2. Multiply the second equation by 4:
3. Add the two equations:
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