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When you are dealing with a number of variables and relations between them.
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Solve this system of equations using the addition method x plus y equals 6?
When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations.
Do you have to use the same variables for all equations when creating a system of equations?
The idea is to work with the same variables, but it is possible that some of the variables are missing in some of the equations.
What would be a solution to a system?
The solution would be the point of intersection of the graphical representation of all equations within the system.
If a system of linear equations has many solutions what would be the correct mathematical description of the system?
dependent
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?
This looks like a question from a Virtual School course - please ask you teacher for help and use the examples in the lesson.
What is a group of linear equations that use the same variables?
a system of equations
What is an ordered pair that makes all equations in a system true?
That would be the "solution" to the set of equations.
To solve a three variable system of equations you can use a combination of the elimination and substitution methods?
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
What would we use system of equations for in real life?
Cindy and Dan together have 20 apples. Cindy has 2 more apples than Dan. How many apples does Dan have? That's just one of the many basic scenarios where a system of equations would come in handy.
Use the substitution method to solve the system of equations Enter your answer as an ordered pair?
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
How would you know if a linear system has a solution?
One way is to look at the graphs of these equations. If they intersect, the point of intersection (x, y) is the only solution of the system. In this case we say that the system is consistent. If their graphs do not intersect, then the system has no solution. In this case we say that the system is inconsistent. If the graph of the equations is the same line, the system has infinitely simultaneous solutions. We can use several methods in order to solve the system algebraically. In the case where the equations of the system are dependent (the coefficients of the same variable are multiple of each other), the system has infinite number of solutions solution. For example, 2x + 3y = 6 4y + 6y = 12 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. Try to solve this system of equations, 2x + 3y = 6 4x + 6y = 7 If you use addition or subtraction method, and you obtain a peculiar result such that 0 = 5, actually you have shown that the system has no solution (there is no point that satisfying both equations). When you use the substitution method and you obtain a result such that 5 = 5, this result indicates no solution for the system.
Solving the system of equations by graphing?
Graph both equations on the same graph. Where they intersect is the solution to the system of equations
What is the definition of Simultaneous Linear Equations?
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
A system of equations with exactly one solution?
A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.
What are two or more equations called?
A system of equations.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What types of lines would be the result of an inconsistent system of equation?
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.
