Question #6444015Fill in the Blank
Algebra-1
Question
Solve the system of equations and find the value of : . 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. The goal is to find the value of by eliminating one of the variables.
This question tests the student's ability to solve a system of linear equations using the elimination method. The goal is to find the value of by eliminating one of the variables.
Key Concept Explanation
The key concept here is the elimination method, which involves manipulating the equations to eliminate one variable, thus simplifying the system to a single equation in one variable.
The key concept here is the elimination method, which involves manipulating the equations to eliminate one variable, thus simplifying the system to a single equation in one variable.
Step-by-step Solution
1. Start with the given system of equations:
2. Multiply the second equation by 3 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 3 to align the coefficients of :
3. Add the first equation to the modified second equation to eliminate
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