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How do you know that solutions using substitution gives the answer ot the system of equations?
Wiki User
∙ 13y ago
Here's a mark you use in your math every day, and right now, you have to stop
for a second and understand and accept what it really means:
=See that ? That's the "equals" sign. When you write (one quantity) = (another quantity),that means that honestly and truly, those two quantities are not only 'equivalent', but
literally equal in every way. Either one can do anything and everything that the other
one can do, and wherever you see one of them, you can stick the other one in its place,
because they're equal in every way.
That's why substitution is a legitimate operation. If a statement is true before substitution,
it's still true after substitution.
Wiki User
∙ 13y ago
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What do you call the graphs that intersect at exactly one point which gives solution of the system?
They are straight line graphs that work out the solutions of 2 equations or simultaneous equations
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.
What are the solutions of the simultaneous equations of x squared -xy -y squared equals -11 and 2x plus y equals 1?
1st equation: x^2 -xy -y squared = -11 2nd equation: 2x+y = 1 Combining the the two equations together gives: -x^2 +3x +10 = 0 Solving the above quadratic equation: x = 5 or x = -2 Solutions by substitution: (5, -9) and (-2, 5)
What is numerical solutions of nonlinear equations?
Linear equations, if they have a solution, can be solved analytically. On the other hand, it may not always be possible to find a solution to nonlinear equations. This is where you use various numerical methods (eg Newton-Raphson) to work from one approximate numerical solution to a better solution. This iterative procedure, if properly applied, gives accurate numerical solutions to nonlinear equations. But as mentioned above, they are not arrived at analytically.
Elimination gives the solution to the system of equations when each row has nothing but zeros and a single 1 to the left of the thin line?
False
How do you know that substitution gives the answer to a system of equations?
You put in the answers you got for your variables into one of the equations. If it gives you the correct answer then you solved it, if it's different then either it doesn't work or one of the steps wasn't completed correctly or at all.
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 do you call the graphs that intersect at exactly one point which gives solution of the system?
They are straight line graphs that work out the solutions of 2 equations or simultaneous equations
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.
What are the solutions of the simultaneous equations of x squared -xy -y squared equals -11 and 2x plus y equals 1?
1st equation: x^2 -xy -y squared = -11 2nd equation: 2x+y = 1 Combining the the two equations together gives: -x^2 +3x +10 = 0 Solving the above quadratic equation: x = 5 or x = -2 Solutions by substitution: (5, -9) and (-2, 5)
What is numerical solutions of nonlinear equations?
Linear equations, if they have a solution, can be solved analytically. On the other hand, it may not always be possible to find a solution to nonlinear equations. This is where you use various numerical methods (eg Newton-Raphson) to work from one approximate numerical solution to a better solution. This iterative procedure, if properly applied, gives accurate numerical solutions to nonlinear equations. But as mentioned above, they are not arrived at analytically.
Describe the solution to the system of equations 5x - y equals 8 and 25x-5y equals 32?
Substitution method: from first equation y = 5x - 8. In the second equation this gives 25x - 5(5x - 8) = 32 ie 25x - 25x + 40 = 32 ie 40 = 32 which is not possible, so the system has no solution. Multiplication method: first equation times 5 gives 25x - 5y = 40, but second equation gives 32 as the value of the identical expression. No solution.
Elimination gives the solution to the system of equations when each row has nothing but zeros and a single 1 to the left of the thin line?
False
In what ways does nondimesionalizationof Navier-Strokes equation is helpful in obtaining approximate solutions?
Nondimensionalization of equations are generally done to obtain the characteristic property of the system. Non Dimensionalization of incompressible navier stokes gives an equation in terms of Reynolds number hence simplifying the problem. Cheers Prasanth P
4x-7y equals 13 -2x plus 7y equals -3?
One way to solve this system of equations is by using matrices. Form an augmented matrix in which the first 2x2 matrix is the coefficient matrix and the 2x1 matrix on its right is the answer. Now apply Gaussian Elimination and back-substitution. Using this method gives x=5 and y=1.
What is consistent and dependent?
The terms consistent and dependent are two ways to describe a system of linear equations. A system of linear equations is dependent if you can algebraically derive one of the equations from one or more of the other equations. A system of linear equations is consistent if they have a common solution.An example of a dependent system of linear equations:2x + 4y = 84x + 8y = 16Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 16, which gives 16 = 16.No new information was gained from the second equation, because we already knew 16 = 16, so these two equations are dependent.An example of an inconsistent system of linear equations:Because consistency is boring.2x + 4y = 84x + 8y = 15Solve the first equation for x:x = 4 - 2yPlug that value of x into the second equation:16 - 8y + 8y = 15, which gives 16 = 15.This is a contradiction, because 16 doesn't equal 15. Therefore this system has no solution and is inconsistent.
