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A system with two equations and three variable is known as a parametric equation and can be simplified, generally, to one equation with two variables.
You always need a number of equations equal to or greater than the number of variables you have to find any of the variables.
If you have more varibles than equations you can eliminate a number of variables equal to the number of equations minus one.
Edit: While this is correct, you can fudge an answer using a pseudoinverse. This minimizes one of the values, and then you can approximate the other two. Suppose you have:
3x + 2y + 4z = 0
x + 8y + 7z = 3
You can call this A*b = y, where
A = [3,2,4;1,8,7]
b = [x;y;z]
y= [0;3]
Then you can say
b=ay, where
a=A'(A*A')^(-1)
' indicated the transpose, and ^-1 indicates the inverse.
More explanation can be found at http://neurotheory.columbia.edu/~ken/math-notes/sabes.pdf
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Is it possible to find three unknowns with two equations if the two equations are equal?
No i believe that with three unknowns you must have three equal equations. Hope this helps! -dancinggirl25
What are the three types of possible solutions to a system of equations?
If the equations are linear, they may have no common solutions, one common solutions, or infinitely many solutions. Graphically, in the simplest case you have two straight lines; these can be parallel, intersect in a same point, or actually be the same line. If the equations are non-linear, they may have any amount of solutions. For example, two different intersecting ellipses may intersect in up to four points.
Do equations with different slopes and different y-intercepts have a solution?
TWO linear equations with different slopes intersect in one point, regardlessof their y-intercepts. That point is the solution of the pair.However, this does not mean that three (or more) equations in two variables, even if they meet the above conditions, have a solution.
What is a method used to solve systems of equations in which the solution is the point where the lines intersect?
there are three methods: combination, substitution and decomposition.
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.
Is it possible to find three unknowns with two equations if the two equations are equal?
No i believe that with three unknowns you must have three equal equations. Hope this helps! -dancinggirl25
How do you solve xyz equals 5 plus z?
You cannot solve one equation in three unknowns. You need three independent equations.
Three planes that intersect in a point?
The intersection of three planes is either a point, a line, or there is no intersection if any two of the planes are parallel to each other. This tells us about possible solutions to 3 equations in 3 unknowns. There may be one solution, no solution, or infinite number of solutions.
5x plus 3y plus z equals -29 solve this system of equation?
To solve an equation with three unknowns, x, y and z, you require 3 independent equations.
K+m+n=1500M is three times as big as NK is twice as big as nCalculate k, m and n?
The equation given is not enough to solve for k, m, and n as it has 3 unknowns and only 1 equation. You need at least 2 or more equations to solve for the unknowns.
Solve the equation 4x plus 8y plus 12z equals 44?
Solving equations in three unknowns (x, y and z) requires three independent equations. Since you have only one equation there is no solution. The equation can be simplified (slightly) by dividing through by 4 to give: x + 2y + 3z = 11
What is the answer to 6x 2y 5z-4x 2z-5y?
The "answer" would be a set of three numbers ... the numbers that 'x', 'y', and 'z' must be in order to make the statements true. In order to find them, you need three separate equations, because you have three separate unknowns. Without three separate equations, the only thing you can find is some equations that describe one unknown in terms of the others, but you can't find unique values for them. Even with the missing operators in the question, we're pretty sure that there are most likely not three "equals" signs there, and that you haven't stated three separate equations.
A plus b plus c equals 180 b-3a and c equals 5a what the answer to c?
From your description, I get: a + b + c = 180b - 3a c = 5a You have two equations and three unknowns, which is unsolvable.
What is the Three Reservoir Problem?
This is a classic problem in hydraulic engineering. Three reservoirs are connected by pipes. All the reservoirs have surfaces at different elevations. Given the height each reservoir and pressure loss in each leg of the pipe network, liquid will either flow into or out of each reservoir. If you apply the Bernoulli equation from the surface of each reservoir to the pipe junction, you end up with three nonlinear equations in four unknowns (the flowrates in each leg of the piping network and the total pressure head at the junction). An additional equation is supplied by applying the Continuity Law at the pipe junction (i.e. the sum of all flowrates at the junction is zero if there is no outflow). This now gives four equations in four unknowns; no analytical solution is possible. You can solve the equations iteratively, however, using a tool like Excel. See the spreadsheet in the related link for an example
How do you solve for m plus n equals 1000 and 0.05 plus 0.06n equals 57?
In your question you have two equations. They are... m + n = 1000 Equation (1) 0.05 + 0.06n = 57 Equation (2) It is a rule of thumb that if you have two equations and two unknowns (the unknowns in this case are "m" and "n") you can solve for them. Also remember if you have three euqations and three unknowns you can solve for them.. four euqations four unknowns... etc.. Ok first take the 2nd equation and solve for "n" 0.05 + 0.06n = 57 0.06n = 56.95 n= 949 and 1/6 Now that you have "n" you can put it into the 1st euqation and solve for "m" m + (5695/6) = 1000 m = 50 and 5/6 Therefore you answers are... n=949.16666 or 949 1/6 or 5695/6 m=50.83333 or 50 5/6 or 305/6
What is the best method for solving a set of two linear equations?
If this involves two equations both containing the same two unknowns, then multiply (or divide) one of the equations so that the absolute value of one of the unknowns is now the same in both equations. For example, x + 2y = 11 : 3x - 57 = 13 : Multiply the first equation by three, 3x + 6y = 33 so that the 'x' terms in this and the second equations are equal. In this example they both have the same (positive) sign - see below.If this unknown has identical signs (both are positive or both are negative) then subtract one equation from the other to eliminate that unknown.If this unknown has different signs (it is positive in one equation and negative in the other equation) then add the equations together to eliminate that unknown.This will enable the value of the remaining unknown to be determined and by substitution the value of the eliminated unknown can then be found.
What are three consecutive numbers where the sum of the first two numbers minus the third is 23?
The three numbers are 24, 25, 26. You can solve this as a system of 3 equations and 3 unknowns. Let A, B, & C be the 3 numbers, so: [A + B - C = 23] ; then two equations to describe they are consecutive: [B - A = 1] & [C - B = 1]. Solving gives A=24, B=25, & C=26
