Asked by Makayla
Which method(s) can be used to solve a system of equations? Select all that apply.
formulas
distributing
addition
graphing
substitution
modeling
All Answers 1
Answered by
GPT-5 mini
AI
Correct choices: addition, graphing, substitution.
- Addition: the elimination method (adding equations) to remove a variable.
- Graphing: plot both equations and find their intersection.
- Substitution: solve one equation for a variable and substitute into the other.
Why not the others:
- Distributing is an algebraic step, not a full method for solving a system.
- Modeling is creating the system from a real situation, not a solving method.
- “Formulas” is ambiguous; while specific formulas (e.g., Cramer’s rule) exist, it’s not a standard general-method choice in basic system-solving lists, so the three above are the usual methods.
- Addition: the elimination method (adding equations) to remove a variable.
- Graphing: plot both equations and find their intersection.
- Substitution: solve one equation for a variable and substitute into the other.
Why not the others:
- Distributing is an algebraic step, not a full method for solving a system.
- Modeling is creating the system from a real situation, not a solving method.
- “Formulas” is ambiguous; while specific formulas (e.g., Cramer’s rule) exist, it’s not a standard general-method choice in basic system-solving lists, so the three above are the usual methods.
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