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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
What is the solution of the system means in math?
It means that values are assigned to each of the variables in such a way that, when replacing the variables for those values, EACH of the equations will be true.
Is this statement true or falseA 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?
true
Why is it essential to use balance equations in solving stoichiometric problems?
It is essential to use balanced equations when solving stoichiometric problems because each kind of atom has to be the same on both sides of the equation. The chemical reactions that take place are molar ratios.
What are the different kinds of linear equation?
There can be linear equations with 1, 2, ... variables. Each of these is different since an equation with n variables belongs to n-dimensional space.
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
How does solving a literal equation differ from solving a linear equation?
Because linear equations are based on algebra equal to each other whereas literal equations are based on solving for one variable.
Is this statement true or false 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?
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.
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.
What is the solution of the system means in math?
It means that values are assigned to each of the variables in such a way that, when replacing the variables for those values, EACH of the equations will be true.
What does it mean to solve a system of linear equations?
Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.
Is this statement true or falseA 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?
true
Why is it essential to use balance equations in solving stoichiometric problems?
It is essential to use balanced equations when solving stoichiometric problems because each kind of atom has to be the same on both sides of the equation. The chemical reactions that take place are molar ratios.
How do you solve equations with variables on both sides with fractions?
You first find a common denominator. The least common denominator is preferable but not essential. Multiply each term in the equation by this common denominator. The equation now has no fractions, only variables on both sides. If the resulting equation is linear, quadratic, cubic or exponential then there are relatively simple ways of solving them. There may be an analytical method for solving polynomials of higher order or other equations. However, whether or not there is a method will depend on the precise nature of the equation.
What are the different kinds of linear equation?
There can be linear equations with 1, 2, ... variables. Each of these is different since an equation with n variables belongs to n-dimensional space.
You know that equations and inequalities have different solution symbols, therefore, how many solutions will each one of them have when solving for the variable?
50
What is a unique solution in linear equations?
This is the case when there is only one set of values for each of the variables that satisfies the system of linear equations. It requires the matrix of coefficients. A to be invertible. If the system of equations is y = Ax then the unique solution is x = A-1y.
