Math Problem Statement
Solution
The given system of linear equations is:
To solve this, we can substitute the second equation into the first equation:
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Substitute into :
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Simplify the equation:
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Combine like terms:
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Solve for :
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Now, substitute into the second equation :
So, the solution is .
The correct answer from the given choices is (4, 3).
Would you like more details or have any other questions?
Here are five related questions:
- How do you solve a system of equations using substitution in general?
- What is the method of elimination, and how is it different from substitution?
- How can you check if your solution to a system of linear equations is correct?
- Can a system of linear equations have no solution or infinitely many solutions?
- What is the graphical interpretation of solving a system of two linear equations?
Tip: Substitution is often useful when one equation is already solved for a variable, as it simplifies the process.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Systems of Equations
Formulas
Substitution Method
Solving Linear Systems
Theorems
None
Suitable Grade Level
Grades 8-10
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