Question #6444180Fill in the Blank
Algebra-1
Question
Consider the system of equations: . Solve for and . ________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to use the substitution method to solve a system of linear equations. The given system is in a form where one equation is already solved for , making it straightforward to substitute into the other equation.
This question tests the student's ability to use the substitution method to solve a system of linear equations. The given system is in a form where one equation is already solved for , making it straightforward to substitute into the other equation.
Key Concept Explanation
The substitution method involves expressing one variable in terms of the other using one of the equations, then substituting this expression into the other equation to eliminate one variable and solve for the other.
The substitution method involves expressing one variable in terms of the other using one of the equations, then substituting this expression into the other equation to eliminate one variable and solve for the other.
Step-by-step Solution
1. Start with the given system: .
2. Substitute into the second equation: .
3. Simplify the equation: .
4. Combine like terms:
1. Start with the given system: .
2. Substitute into the second equation: .
3. Simplify the equation: .
4. Combine like terms:
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