Simultaneous equation
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No, simultaneous equations are two or more equations that have all to be true at the same time (simultaneously) for the solution.
An equation with more than one variable is a multivariate equaion.
Area = 0.5*Length*Height or a = 0.5*l*h for the area of a triangle has more than one variables, but it is certainly not simultaneous.
An equation with a variable is called a single variable equation. An equation that has more than one variable is called as a multi-variable equation. A polynomial equation has one variable in different powers: a common example is quadratic equations.
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An equation with a variable is called a single variable equation. An equation that has more than one variable is called as a multi-variable equation. A polynomial equation has one variable in different powers: a common example is quadratic equations.
The number that can replace a variable in an equation to make it a true equation is called the solution or root of the equation. This number satisfies the equation when substituted for the variable. In algebra, finding the solution involves solving for the variable by performing various operations to isolate it on one side of the equation. The solution is the value that balances both sides of the equation, making it true.
Select one equation from a system of linear equations. Select a second equation. Cross-multiply the equations by the coefficient of one of the variables and subtract one equation from the other. The resulting equation will have one fewer variable. Select another "second" equation and repeat the process for the same variable until you have gone through all the remaining equations. At the end of the process you will have one fewer equation in one fewer variable. That variable will have been eliminated from the system of equations. Repeat the whole process again with another variable, and then another until you are left with one equation in one variable. That, then, is the value of that variable. Substitute this value in one of the equations from the previous stage to find the value of a last variable to be eliminated. Work backwards to the first variable. Done! Unless: when you are down to one equation it is in more than one variable. In this case your system of equations does not have a unique solution. If there are n variables in your last equation then n-1 are free to take any value. These do not have to be from those in the last equation. or when you are down to one variable you have more than one equation. If the equations are equivalent (eg 2x = 5 and -4x = -10), you are OK. Otherwise your system of equations has no solution.
The solution set is the answers that make an equation true. So I would call it the solution.
A variable can not hold more than one value at any given moment in time. It would have only one. If you wanted more than one value, you would have to make the variable an array.
A variable measured at the interval or ratio level can have more than one arithmetic mean.