Question #6444183Fill in the Blank
Algebra-1
Question
Given 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. One of the equations 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. One of the equations 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 first equation: .
3. Simplify the equation: .
4. Distribute the negative sign:
1. Start with the given system: .
2. Substitute into the first equation: .
3. Simplify the equation: .
4. Distribute the negative sign:
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