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What is the correct classification of this system of equations -2x plus y equals 7 3y equals 6x plus 4?

Inconsistent linear equations in two variables.


A definition of a solution to a system of equations?

A system of equations is a set of two or more equations with the same variables, graphed in the same coordinate plane


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 is the system of equations?

A system of equations is a set of equations with more than one variable dealing with the same material. If there are 2 variables, then the system must have 2 equations before it can be solved. 3 variables need 3 equations, etc.


Which of the following is a system of linear equations in two variables?

Simultaneous equations have at least two unknown variables.


Is eliminating variables from equations equal to find the value of the variables?

No, but eliminating variables is one of several ways to find the value of variables in a system of equations.


What is a group of linear equations that use the same variables?

a system of equations


How do you do systems of equations?

There are several methods to do this; the basic idea is to reduce, for example, a system of three equations with three variables, to two equations with two variables. Then repeat, until you have only one equation with one variable. Assuming only two variables, for simplicity: One method is to solve one of the equations for one of the variables, then replace in the other equation. Another is to multiply one of the equations by some constant, the other equation by another constant, then adding the resulting equations together. The constants are chosen so that one of the variables disappear. Specifically for linear equations, there are various advanced methods based on matrixes and determinants.


What is the definition of a linear system and how does it relate to solving equations with multiple variables?

A linear system is a set of equations where each equation is linear, meaning it involves variables raised to the power of 1. Solving a linear system involves finding values for the variables that satisfy all the equations simultaneously. This process is used to find solutions to equations with multiple variables by determining where the equations intersect or overlap.


What does solving a system of equations actually mean?

That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.


What is Simultaneous Equations?

Simultaneous equation is nothing: it cannot exist.A system of simultaneous equations is a set of 2 or more equations with a number of variables. A solution to the system is a set of values for the variables such that when the variables are replaced by these values, each one of the equations is true.The equations may be linear or of any mathematical form. There may by none, one or more - including infinitely many - solutions to a system of simultaneous equations.