parameters
No, but eliminating variables is one of several ways to find the value of variables in a system of equations.
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.
If you replace variables in an expression by numbers (in case there are any variables) and then do the indicated operations, you get a number. That final number is the "value" of the expression.
Equate the coefficients and subtract or add to find the value of the the given unknown variables.
No, but eliminating variables is one of several ways to find the value of variables in a system of equations.
If you know matrix algebra, the process is simply to find the inverse for the matrix of coefficients and apply that to the vector of answers. If you don't: You solve these in the same way as you would solve a pair of simultaneous linear equations in two unknowns - either by substitution or elimination. For example, change the subject of one of the equations to express one of the variables in terms of the other two. Substitute this value into the other two equations. When simplified, you will have two linear equations in two 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.
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.
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.
Constant variables refers to those variables whose values cannot be changed. These variables should be initialized along with their declaration. Attempt to change the value of a constant variable will generate compile error. The syntax for declaring a constant variable is:const data-type variableName = value;
The answer depends on what are meant to be real numbers! If all the coefficients are real and the matrix of coefficients is non-singular, then the value of each variable is real.
It is about finding a value of the variable (or variables) that make the equation a true statement.
There are 4 ways to do it. You can graph, use substitution, use elimination, or use matrices. Graphing: Graph the two equations and the coordinates where they intersect are the answer. Substitution: Solve one of the equations for one of the variables and substitute that in the other equation. Then you'll find the value of that variable and you can substitute that and get the other variable. Elimination: Make the coefficients of one of the variables opposites of each other and then add both equations. The opposites will cancel and you have the other variable. Then when you find that variable, find the other one by substituting the number for that variable in one of the equations. Matrices: Make sure both equations are in standard form (Ax+By=C). Then make a 2x2 matrix that has the coefficients of x in the left column and the coefficients of y in the right column and each equation gets its own row. Then make a 2x1 matrix with the C values. Put the C value of the equation you put at the top at the top and the other one at the bottom. Then multiply the inverse of the 2x2 matrix by the 2x1 matrix and you'll get a 2x1 matrix with x at the top and y at the bottom.
The answer will depend on the nature of the equations and the level of your knowledge.Probably the simplest way to deal with a general problem is to do it graphically. As long as you can calculate the values of the equations, you can plot them and the solutions are a subset of the points of intersection.If the equations are all linear and do have a solution then inverting the matrix of coefficients is probably simplest way. In some respects this is likeselecting one equation,using it to express on variable in terms of the others,substituting the expression for that variable in all the other equations.That reduces the number of equations and variables by one. Continue until you have just one variable whose value you can determine. Substitute this value in one of the last two equations and you will then have two known variables. Go back up the line until you have them all.