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Q: Do you have to use the same variables for all equations when creating a system of equations?

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

a 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.

A system of linear equations.

The statement "A system of linear equations is a set of two or more equations with the same variables and the graph of each equation is a line" is true.

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.

It is essentially a list of equations that have common unknown variables in all of them. For example, a+b-c=3 4a+b+c=1 a-2b-7c=-2 would be a system of equations. If there are the same number of equations and variables you can usually, but not always, find the solutions. Since there are 3 equations and 3 variables (a, b, and c) in this example one can usually find the value of those three variables.

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It is essentially a list of equations that have common unknown variables in all of them. For example, a+b-c=3 4a+b+c=1 a-2b-7c=-2 would be a system of equations. If there are the same number of equations and variables you can usually, but not always, find the solutions. Since there are 3 equations and 3 variables (a, b, and c) in this example one can usually find the value of those three variables.

It is a set of equations, which is also called a system of equations. There may be no solution, a single (unique) solution or more than one - including infinitely many.

3x times 2y = 3x2y In a system of equations, you can only solve for a system if there are the same amount of variables as equations. Since there is only one equation (actually, it is a monomial, but considering 3x2y=0) and there are two variables, x and y, we cannot solve for the variables. The simplest form is 3x2y.

An expression is the algebraic representation of a number - an expression has a numeric value.An equation is an algebraic statement claiming that two expressions have the same numeric value. The equation has a Boolean value (true or false).If two equations can be expressed in an identical manner (the same expression on both sides) - then these equations are the same equation.In order for a system of equations to have a solution, the number of different equations in the system must be equal to the number of variables in the system. If there are more distinct equations than there are variables, than the system has no solution. If there are less, then the system may have no solution, or infinitely many solutions.In the case described there is most likely an infinite number of solutions

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