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What does it mean to be a solution to a system of equations?
basically it means an answer for a multiplication problem
What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
What does the point of intersection mean on graph of a system equation?
The point of intersection on the graph of a system of equations represents the solution to the system, indicating the values of the variables that satisfy all equations simultaneously. In a two-variable system, it shows where the two lines (or curves) cross, meaning both equations yield the same output for those specific input values. If the lines intersect at a single point, there is one unique solution; if they coincide, there are infinitely many solutions; and if they are parallel, there is no solution.
What does it mean for a coordinate pair to be a solution to a system of equations?
It means that if you replace one variable with one of the numbers, and the other variable with the other numbers, and then evaluate the expressions on each side of the equations, the equalities will be true.
What does it mean when a system of nonlinear equations has an extraneous solution?
It means you performed an operation on the system which was not invertible. This allowed you to come to a solution but that solution is not correct since it is not a proper biconditional relations. That is, you can solve it in terms of p->q but not the reverse (since the inverse operation is not possible).
What is the system of equations and enter the solution as an ordered pair 4x 7y equals 47 5x-4y equals -5?
Do you mean: 4x+7y = 47 and 5x-4y = -5 Then the solutions to the simultaneous equations are: x = 3 and y = 5
What does it mean to be a solution to a system of equations?
basically it means an answer for a multiplication problem
What does the answer 12 equals 12 in a system of equations mean?
It probably means that one of the equations is a linear combination of the others/ To that extent, the system of equations is over-specified.
What does a single solution to a system of equations mean?
It represents the point of intersection on a graph.
What does the point of intersection mean on graph of a system equation?
The point of intersection on the graph of a system of equations represents the solution to the system, indicating the values of the variables that satisfy all equations simultaneously. In a two-variable system, it shows where the two lines (or curves) cross, meaning both equations yield the same output for those specific input values. If the lines intersect at a single point, there is one unique solution; if they coincide, there are infinitely many solutions; and if they are parallel, there is no solution.
When solving a system of equations what does 4 equals 4 mean?
three things: 1) that the value of 4 is equal to the value of 4. 2) you did not obtain any revealing information. 3) your strategy for solving that system of equations was not good.
What does it mean for a coordinate pair to be a solution to a system of equations?
It means that if you replace one variable with one of the numbers, and the other variable with the other numbers, and then evaluate the expressions on each side of the equations, the equalities will be true.
What does it mean when a system of nonlinear equations has an extraneous solution?
It means you performed an operation on the system which was not invertible. This allowed you to come to a solution but that solution is not correct since it is not a proper biconditional relations. That is, you can solve it in terms of p->q but not the reverse (since the inverse operation is not possible).
Isha sharma writes three liner equations in two variables as under 3x plus 2y equals 5 5x-7y equals -2 6x plus 4y equals 10which pairs has no solution?
There is no such pair. The solution to equation 1 and equation 2 is x = 1, y = 1. The solution to equation 2 and equation 3 is x = 1, y = 1. And the solution to equation 1 and equation 3 is any point on the line 3x + 2y = 5 - an infinite number of solutions. The fact that the determinant for equations 1 and 3 is zero (or that they are not independent) does not mean that there is no solution. It means that there is no UNIQUE solution. In this particular case, the two equations are equivalent and so have an infinite number of solutions.
What does equivalent equation mean in math terms?
Equations that have the same solution.
If a system of linear of linear equations has infinitely many solutions what does this mean about the two lines?
If a system of linear equations has infinitely many solutions, it means that the two lines represented by the equations are coincident, meaning they lie on top of each other. This occurs when both equations represent the same line, indicating they have the same slope and y-intercept. As a result, any point on the line is a solution to the system.
What does consistent system mean?
A consistent system refers to a set of equations or conditions that do not contradict each other, meaning there is at least one solution that satisfies all equations simultaneously. In mathematics, particularly in linear algebra, a consistent system can be classified as either having a unique solution or infinitely many solutions. This contrasts with an inconsistent system, where no solutions exist due to conflicting equations. Consistency is crucial for ensuring that mathematical models accurately represent real-world scenarios.
