
What are the three methods used to solve systems of equations?
5 Answers By Expert Tutors
- Graphing
- Substitution
- Elimination
A fourth method is Cramer's Rule (determinants).
Srividya C. answered 01/25/25
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- Substitution
- Elimination
- Graphing
Christal-Joy T. answered 01/29/25
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The three common methods used to solve systems of equations are:
- Graphing Method – This involves graphing each equation on the same coordinate plane and identifying the point(s) where the graphs intersect. The intersection represents the solution to the system.
- Substitution Method – This method involves solving one equation for one variable and then substituting that expression into the other equation. This reduces the system to a single equation with one variable, which can then be solved.
- Elimination (or Addition) Method – This method involves adding or subtracting the equations to eliminate one of the variables, making it easier to solve for the remaining variable. Sometimes, multiplication is used to align coefficients before elimination.
Each method is useful in different scenarios depending on the complexity of the system and the given equations. I hope this helps. If you have any additional questions, please let me know. Take care!
Dr. Christal-Joy Turner
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Evan C.
01/25/25