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Which pair of values is the solution to the system of equations below r plus 2t equals -3 and 3r-4t equals -9?
r + 2t = -3 . . . . (A)
3r - 4t = -9 . . . . (B)
2*(A) + (B): 2r + 4t + 3r - 4t = -6 - 9
5r = - 15 so r = -3
substituting in (A), t = 0
So the answer is (r, t) = (-3, 0)
r + 2t = -3 . . . . (A)
3r - 4t = -9 . . . . (B)
2*(A) + (B): 2r + 4t + 3r - 4t = -6 - 9
5r = - 15 so r = -3
substituting in (A), t = 0
So the answer is (r, t) = (-3, 0)
r + 2t = -3 . . . . (A)
3r - 4t = -9 . . . . (B)
2*(A) + (B): 2r + 4t + 3r - 4t = -6 - 9
5r = - 15 so r = -3
substituting in (A), t = 0
So the answer is (r, t) = (-3, 0)
r + 2t = -3 . . . . (A)
3r - 4t = -9 . . . . (B)
2*(A) + (B): 2r + 4t + 3r - 4t = -6 - 9
5r = - 15 so r = -3
substituting in (A), t = 0
So the answer is (r, t) = (-3, 0)
What else can I help you with?
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 does the intersection of a system of equations tell us What if there is not an intersection?
The intersection of a system of equations represents the set of values that satisfy all equations simultaneously, indicating a solution to the system. If there is no intersection, it suggests that the equations are inconsistent, meaning there is no set of values that can satisfy all equations at the same time. This can occur when the lines or curves representing the equations are parallel or when they diverge in different directions. In such cases, the system has no solution.
Is (-1 1) a solution to this system of equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
Does the solution to a system of three equations in three variables is always one point?
No. There could be no solution - no values for x, y, and z so that the 3 equations are true.
How do you check a solution to a system of equations?
Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
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 to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
What is the solution of the system of linear equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
What is the definition of solution of system of linear equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
Is (-1 1) a solution to this system of equations?
The values for which the equations are solved. Graphically the intersection of the lines that are the solutions to the individual equations. The link below gives some explanations. The equations themselves will have to be given for a solution to be found.
Does the solution to a system of three equations in three variables is always one point?
No. There could be no solution - no values for x, y, and z so that the 3 equations are true.
How do you check a solution to a system of equations?
Put the values that you find (as the solution) back into one (or more) of the original equations and evaluate them. If they remain true then the solution checks out. If one equation does not contain all the variables involved in the system, you may have to repeat with another of the original equations.
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.
What is the set of values that solve a system of equations called?
Depending on the context, the "feasible region" or "solution set".
What is any and all values of the variable that satisfies an equation inequality system of equations or system of inequalities?
They make up the solution set.
What is the definition of solution in math?
In mathematics, a solution refers to a value or set of values that satisfies an equation, inequality, or system of equations. It is the value or values that make the equation or inequality true.
