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Apr 03, 2011 HELP! Determine the values of 'a' for which the system of equations has no solution, infinite# of solutions, ? This is the system of equations: xay9 (1) ax9y27 (2) I have to determine the value(s) of a for which the system of equations has a) no solution b) infinite# of solutions c) one solution pleeease help, i cant get the answer thank you.A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the c. a system of equations with no solutions

Oct 20, 2016 1) Given: a system of equations that has no solution. We have to choose which best describes a system of equations that has no solution. Since, if a system of equation has no solution and The graphs of the lines do not intersect, so the graphs are parallel and there is no solution and is called inconsistent So, option (d) is correct.

Since this equation is never true, there are no solutions to the system. The graph of this system of equations is shown below. Notice that the lines are parallel. Key Idea. When solving a system of equations, if the final equation does not contain a variable and is false, then there are no solutions. Example 2. Solve the system of equations. For a given system of linear equations, there are only three possibilities for the solution set of the system: No solution (inconsistent), a unique solution, or infinitely many solutions. The possibilities for the solution set of a homogeneous system is either a unique solution or infinitely many solutions. **c. a system of equations with no solutions** Jan 11, 2013 1. The graph of a system of equations will intersect at more than 1 point. A. Always B. Sometimes C. Never 2. The graph of a system of equations with different slopes will have no solutions. A. Always B. Sometimes C. Never 3. Explain the process of using graphing technology to solve a system of equations. Describe a system of equations that would be better graphed using graphing technology.

Sep 01, 2013 MA 162: Finite Mathematics Systems of Linear Equations: No solutions and infinitely many solutions finding the solution to a system of linear equations; finding the point of intersection of a family of lines; are two ways of approaching the same problem. Algebraically, our system has no solutions when \(k 4\). *c. a system of equations with no solutions* A system of linear equations can have a(n) solution, no solution, or infinitely many solutions. Graphing Systems of Equations. This is the first of four lessons in the System of Equations unit. We are going to graph a system of equations in order to find the solution. REMEMBER: A solution to a system of equations is the point where the lines intersect! Prerequisites for completing this unit: Graphing using slope intercept form. Sometimes equations have no solution. This means that no matter what value is plugged in for the variable, you will ALWAYS get a contradiction. Watch this tutorial and learn what it takes for an equation to have no solution. Lesson Summary. An inconsistent system of equations is a system of equations with no solution. We can determine if our system is inconsistent in three ways: graphing, algebra, and logic. Graphs of an inconsistent system will have no points of intersection. Trying to solve a system with no solutions algebraically will lead to a contradiction.

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