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Assuming the simplest case of two equations in two variable: solve one of the equations for one of the variables. Substitute the value found for the variable in all places in which the variable appears in the second equation. Solve the resulting equation. This will give you the value of one of the variables. Finally, replace this value in one of the original equations, and solve, to find the other variable.
They are alike because the both have value, they both have variables, and both have numbers. there, happy?
Finding a set of value for the set of variables so that, when these values are substituted for the corresponding variables, all the equations in the system are true statements.
A single equation with two variables can be solved for one of the variables, in terms of the other. For example, a rectangle's area is A = wh (width x height). Now let's assume you know the area: 20 = wh. You can solve for any of these variables in terms of the other, for example, w = 20/h. That is, once you assign a value to "h", you can calculate "w". But you don't know the specific values for "w" and "h", because the equation has an infinite number of solutions.If you want to know specific values for the variables, in general, you need two different equations with 2 variables - or 3 equations with 3 variables, etc.
By eliminating or substituting one of the variables in the two equations in order to find the value of the other variable. When this variable is found then substitute its value into the original equations in order to find the value of the other variable.
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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.
To evaluate means to find the value. Substitute the values of the variables and calculate the value. [You may need to solve for the values of the variables first.]
Solving the equation.
It is about finding a value of the variable (or variables) that make the equation a true statement.
Assuming the simplest case of two equations in two variable: solve one of the equations for one of the variables. Substitute the value found for the variable in all places in which the variable appears in the second equation. Solve the resulting equation. This will give you the value of one of the variables. Finally, replace this value in one of the original equations, and solve, to find the other variable.
Equate the coefficients and subtract or add to find the value of the the given unknown variables.
Equivalent meaning the equations are of equal value
The variables stand for an unknown number that has not yet been identified which has been kept as a variable for the purpose of finding the value of.
They are alike because the both have value, they both have variables, and both have numbers. there, happy?
Finding a set of value for the set of variables so that, when these values are substituted for the corresponding variables, all the equations in the system are true statements.