The elimination method is a technique used to solve systems of equations. When equations have opposite coefficients for one of the variables, adding the equations eliminates that variable, allowing you to solve for the remaining variable. Once you've found the value of one variable, you can substitute it back into either of the original equations to find the value of the other variable.
Match the following terms with their correct definitions:
| Term | Definition |
|---|---|
| 1. System of Equations | A. A method to solve systems by adding equations. |
| 2. Elimination Method | B. A value that, when multiplied by a variable, gives the term's value. |
| 3. Coefficient | C. Two equations where the coefficient of one variable are opposites of each other. |
| 4. Opposite Coefficients | D. A set of two or more equations containing the same variables. |
| 5. Variable | E. A symbol (usually a letter) representing an unknown number. |
Match the terms to their definitions:
1. ___ 2. ___ 3. ___ 4. ___ 5. ___
The ________ method is used to solve systems of equations. This method works especially well when one of the ________ has ________ coefficients. When you add the equations, the variable with opposite coefficients ________, allowing you to solve for the other ________. Finally, substitute the value you found back into one of the original equations to find the ________ of the eliminated variable.
Explain in your own words why having opposite coefficients for a variable makes the elimination method effective. Can you think of a situation where elimination is NOT the best method to solve a system of equations?
Please log in to post your answer.
Log InEarn 2 Points for answering. If your answer is selected as the best, you'll get +20 Points! 🚀