One solution no solution infinite
Solving Systems of Linear Equations in Three Variables
Substitute the two values into one of the original equations to find the remaining variable’s value. Note that if you ever get a false statement, there will be no solution. If you get a true statement (an identity), there will be infinitely many solutions. Example 1 – One Solution. Solve the system .
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4) Have each group solve one of each kind of system by graphing. (1 solution, no solution, infinite solutions) 10 minutes. 5) Have a representative from each group draw their answers on the board. 5 minutes. 6) Ask each group to look for patterns between the different systems based upon classifying. the systems by number of solutions.
[DOC File]CT.GOV-Connecticut's Official State Website
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No Credit: Incorrect answer with an incorrect or missing explanation. Look at the equation below. 9k + 1 = 4k – 1 + 5k . Does the equation have one solution, no solution or an infinite number of solutions? Show or explain how you found your answer. Answer: No Solutions with an explanation that may include:
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Students can look at an equation and without solving the equation entirely determine whether it will have one solution, no solution, or infinite solutions just by examining the structure of the equation. Timing: During or after instruction on solving equations with one solution, infinitely many solutions, or no solution.
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Solve an algebraic equation that has one solution, no solution, infinite solutions? Transform Algebraic Formulas? Set up and solve word problems? Solve a system of 2 linear equations that have one solution, no solution and infinite solutions? Solve a system of 3 …
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They can do them on the dry erase boards or as an assignment. Have students place dry erase boards on the chalk trough. Have one of the groups explain their solution. Graph each system of equations. Then determine whether the system has one solution, no solution, or infinitely many solutions. If the system has one solution, name it. 1. y = -x ...
[DOC File]MAT094 - FUNDAMENTALS OF ALGEBRA
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Solve linear equations having one solution, no solution or an infinite number of solutions. Solve linear equations by simplifying one or both of the linear expressions. Solve linear equations with expressions including constant denominators. Translate a verbal statement into a mathematical equation, and use the equations to solve a number problem.
[DOC File]TERMINOLOGY - BASIC EXAMPLES & EXERCISES
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if it has at least one solution. Example 3: The system in Example 2. is consistent. Exercise 2: Show that the following system is . inconsistent. Exercise 3: Give the geometrical interpretations for each of the following: The system. has a unique solution; has an . infinite solution set; has no solution. Theorem
[DOC File]8-1 Solving Systems of Equations
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Use substitution to solve the system of equations. If the system does not have one solution tell whether it has infinitely many solutions or no solution. Y = 2x + 1. 2y = 4x +2. Step 1 - Choose a variable to solve for. Look for the easiest way to solve the problem. Because the first equation is already solved for y I will choose the first equation.
[DOC File]Systems of Equations
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One solution. You will get an x-value and a y-value, such as: x = 5 and y = –2 Infinite solutions. You will get an answer that looks. something like: 0 = 0 or 2 = 2 No solution. You will get an answer that makes. no sense, such as: O = 4. The Academic Support Center at Daytona State College (Math 27 pg 2 of 2)
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