Math Problem Statement
Solution
To solve the system using substitution, Anthony should replace in the first equation with the expression given for in the second equation. Here's the process:
The system is:
Substituting into the first equation:
This matches option B: .
So, the correct answer is B.
Would you like further explanation on how this substitution works?
Related Questions
- How do you solve the system of equations after substitution?
- What happens if you solve the equations using the elimination method instead of substitution?
- Can substitution be used for all types of systems of linear equations?
- What is the next step after substituting the expression for into the equation?
- Why is substitution an effective method for solving systems of equations?
Tip: Always isolate one variable first if possible when using the substitution method to simplify the process!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Substitution Method
Formulas
Substitution in a system of equations
Theorems
Substitution method in solving systems of linear equations
Suitable Grade Level
Grades 7-9
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Solving System of Linear Equations Using Substitution
Solving System of Linear Equations Using Substitution Method: 6x−2y=10 and y=3x−5