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You cannot since there are infinitely many sets of lines that can pass through any single point - the solution.

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Q: How do you find the linear system if you know its solutions?
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How do you know which region of the graph of a system of linear inequalities contains the solutions?

If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.


What is the application for rank of the matrix?

Rank of a matrix is used to find consistency of linear system of equations.As we know most of the engineering problems land up with the problem of finding solution of a linear system of equations ,at that point rank of matrix is useful.


How do you solve a system of linear equations by graphing?

When you are solving a system of linear equations, you are looking for the values for the unknown variables (usually named x and y) that make each equation in the system true. Instead of using algebraic substitution or elimination, you can use graphing to find the variables. If you graph each equation on the same graph, the point where the graphs cross is the answer, which should be given as an ordered pair in the form (x,y). If the graphs do not cross anywhere (for example, parallel lines) then there is no solution. If the graphs of two lines end up being the same line, then there are an infinite number of solutions. You must know how to graph a line in order to use this method.


How do you know when an equation has a unique solution?

You know when an equation has a unique solution when there is only one variable in it. (APOLOGIES)(RESPONSE: the question was categorized under "Linear Algebra". x^2 is non-linear and is thus not allowed, nor are sin x, x^3, log x, 2^x, etc etc. However, you are correct if you consider non-linear equations. Unfortunately, I am not sure there is a method to determine the number of solutions to non-linear equation.)If there are more than one variable, each variable over the first will be free, and give you infinite solutions - with each additional variable adding another dimension to your solution.(RESPONSE: See above response with regards to this topic being categorized under "Linear Algebra". My statement is true in Linear Algebra. Furthermore, Row Reduced Echelon Form and augmented matrices are the most fundamental concepts in Linear Algebra. Under normal circumstances, I would agree with you. However, this question was categorized under "Linear Algebra", so I presumed that the person asking the question is a college student.)In general, you know that a system of equations has a unique solution when the row reduced echelon form of the augmented matrix has a pivot position in every column, except for the right most column which is the solution. If you do not have an augmented matrix, then the RREF will have a pivot position in every column.


How do you know is an equation is linear?

You know if an equation is linear if it is a straight line. You can also know if the equation is y = mx + b where there are no absolute values nor exponents.

Related questions

How do you know which region of the graph of a system of linear inequalities contains the solutions?

If the lines intersect, then the intersection point is the solution of the system. If the lines coincide, then there are infinite number of the solutions for the system. If the lines are parallel, there is no solution for the system.


Explain why a system of linear equations cannot have exactly two solutions?

if you can fart out of your chin then you know your headin in the right direction


What is the application for rank of the matrix?

Rank of a matrix is used to find consistency of linear system of equations.As we know most of the engineering problems land up with the problem of finding solution of a linear system of equations ,at that point rank of matrix is useful.


What type of solutions do you get when system is nontrivial and when it is trivial?

I want to Know the Answer


How do you solve a system of linear equations by graphing?

When you are solving a system of linear equations, you are looking for the values for the unknown variables (usually named x and y) that make each equation in the system true. Instead of using algebraic substitution or elimination, you can use graphing to find the variables. If you graph each equation on the same graph, the point where the graphs cross is the answer, which should be given as an ordered pair in the form (x,y). If the graphs do not cross anywhere (for example, parallel lines) then there is no solution. If the graphs of two lines end up being the same line, then there are an infinite number of solutions. You must know how to graph a line in order to use this method.


What organization tries to find solutions to world problems?

I only know one but thatz the U.N.


What are some specific voip solutions?

If you own phone equipment with VOIP, then you may want to know some specific technical solutions. To find solutions, you should refer to Vocalocity. They are sure to help you with technical data concerning VOIP solutions.


What is a linear system?

A linear system is an equation to find the intersection of two or more lines. The equations are usually expressed with two variables, x and y. I don't know yet, but maybe geometry might have three variables, including z. Basically it's where two lines intersect and the most common ways of solving it are through graphing, substitution, and/or elimination.Presume you mean "linear".These are systems whose parameters vary directly or proportionally. Plotting functions results in straight lines.


What is a solution of a linear equation called?

A solution of a linear equation is called a root or a solution. It is a value that satisfies the equation when substituted back into it.


How do you know if a system has one solution?

If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.


How do you identify solutions to equations?

You'll know that you've found the equation's solutions when you end up with an expression in the form of x=N. Where x is what you're trying to find solutions to and N is either a number or an expression not dependent on x.


Where is the best place to find proactive solutions?

Proactiv Solutions is a widely-know skincare treatment developed to treat mild to moderate acne. The products are sold on infomercials as well the official Proactiv website. You can also find Proactiv Solutions for sale at online retailers such as Sears, Overstock, and Amazon.