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Why can you not use the graphical method for every system of equations?
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What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
How do you solve the system of equations when you have 4 equations with 4 unknowns?
There are several ways to do it - depending, in part, on the kind of equations. Sophisticated methods exist specifically for linear equations, among others. However, for a start, you can combine equations (1) and (2), eliminating one variable; the same for equations (2) and (3), and for equations (3) and (4) (eliminating the same variable in every case). That leaves you with 3 equations with 3 variables. Similarly, reduce the 3 equations in 3 variables, to 2 equations in 2 variables (eliminating the same variable in every case). Combine those into a single equation with 1 variable. Example for eliminating a variable: (Eq. 1) 5a + 3b - 3c + 8d = 28 (Eq. 2) 8a - 3b + 8c - 6d = 8 If you just add up the equations, you eliminate variable b. If you want to eliminate variable a, multiply the first equation by 8, and the second by (-5), then add the resulting equations.
What are the steps to solving equations and inequalities?
Just keep doing the same thing to both sides of the equation at every step.
What advantages does the metric system have over the English method of measurement?
The English system is based on arbitrary numbers and measurements, such as 12, 36, and 5,280. The Metric system - every aspect of it - is based on even multiples of ten, both going upward, and going downward. Just ten. Nothing else.
Every system of equations has at least one solution?
No. Here is a simple example where this is not the case: x + y = 0 x + y = 1 If you subtract the first equation from the second, you get 0 = 1, which is clearly impossible. Graphically, you get two parallel lines, which never cross.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
How do you solve systems of equations by using elimination?
Multiply every term in both equations by any number that is not 0 or 1, and has not been posted in our discussion already. Then solve the new system you have created using elimination or substitution method:6x + 9y = -310x - 6y = 58
What are equations with the same solution?
Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.
Software that provides a user-friendly graphical interface that prompts the user for every piece of information associated with the problem?
Call tracking system.
What are the possible solutions for a system of equations?
The system of equations can have zero solutions, one solution, two solutions, any finite number of solutions, or an infinite number of solutions. If it is a system of LINEAR equations, then the only possibilities are zero solutions, one solution, and an infinite number of solutions. With linear equations, think of each equation describing a straight line. The solution to the system of equations will be where these lines intersect (a point). If they do not intersect at all (or maybe two of the lines intersect, and the third one doesn't) then there is no solution. If the equations describe the same line, then there will be infinite solutions (every point on the line satisfies both equations). If the system of equations came from a real world problem (like solving for currents or voltages in different parts of a circuit) then there should be a solution, if the equations were chosen properly.
What are you trying to find when solving a system of linear equations?
You are trying to find a set of values such that, if those values are substituted for the variables, every equation in the system is true.
How do you solve the system of equations when you have 4 equations with 4 unknowns?
There are several ways to do it - depending, in part, on the kind of equations. Sophisticated methods exist specifically for linear equations, among others. However, for a start, you can combine equations (1) and (2), eliminating one variable; the same for equations (2) and (3), and for equations (3) and (4) (eliminating the same variable in every case). That leaves you with 3 equations with 3 variables. Similarly, reduce the 3 equations in 3 variables, to 2 equations in 2 variables (eliminating the same variable in every case). Combine those into a single equation with 1 variable. Example for eliminating a variable: (Eq. 1) 5a + 3b - 3c + 8d = 28 (Eq. 2) 8a - 3b + 8c - 6d = 8 If you just add up the equations, you eliminate variable b. If you want to eliminate variable a, multiply the first equation by 8, and the second by (-5), then add the resulting equations.
What type of system equation produces the solution set infinite solution?
If the equations of the system are dependent equations, which represent the same line; therefore, every point on the line of a dependent equation represents a solution. Since there are an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 3x + 2y = 8 6x + 4y = 16
Are you allowed to declared main method in every class?
Yes. Every Java class can have a main method
What happens when every day speeds are put into the relativistic equations?
The solutions will be extremely similar to what you would get for equations in Newtonian physics. At everyday speeds the deviation from Newtonian mechanics is negligible.
Does Every class has a toString method and an equals method inherited from the Object class?
Yes - in Java, every class has this method, which is inherited from the Object class. Often, the inherited method does nothing particularly useful, but you can override it with your own implementation.
What is the difference with equations with integers and equations with rational numbers?
It is a trivial difference. If you multiply every term in the equation with rational numbers by the common multiple of all the rational numbers then you will have an equation with integers.
