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Questions and Answers
What is the first step in solving the system of equations for the given problem?
What is the first step in solving the system of equations for the given problem?
- Determine what you are trying to find.
- Organize the known information.
- Underline, circle and/or highlight important information. (correct)
- Write out the equations for both situations.
What does the problem require you to find?
What does the problem require you to find?
- The number of Hostas and ornamental grass plants each bought.
- The cost of one Hosta and the cost of one bunch of ornamental grass. (correct)
- The total amount spent by Eduardo and Nicole.
- The store from which Eduardo and Nicole bought their supplies.
Which of the following correctly represents Eduardo's spending in equation form?
Which of the following correctly represents Eduardo's spending in equation form?
- 7x + 12y = 183
- 14x + 5y = 120
- 5x + 14y = 183
- 14x + 5y = 183 (correct)
What is the correct equation for Nicole's expenditure?
What is the correct equation for Nicole's expenditure?
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What method can be used to solve the system of equations derived from this problem?
What method can be used to solve the system of equations derived from this problem?
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Study Notes
Solving Systems of Equations
- The first step in solving the system of equations for the given problem is to identify the variables and how they relate to each other.
- The problem requires you to find the value of these variables, representing the quantifiable aspects of the problem.
- Eduardo's spending in equation form represents the total amount of money he spent on his purchase.
- Nicole's expenditure equation represents the total amount of money she spent.
- The method used to solve the system of equations derived from this problem is dependent on the structure of the equations. Some common methods include substitution, elimination, and graphing.
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