What is Systems of equations: Definition and 58 Discussions

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation system is usually classified in the same manner as single equations, namely as a:

System of linear equations,
System of nonlinear equations,
System of bilinear equations,
System of polynomial equations,
System of differential equations, or a
System of difference equations

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  1. S

    Kirchhoff's Rules and Systems of Equations

    Homework Statement To find the current traveling through a circuit with parallel and series connections. The circuit looks something like this. *Right now my webserver is giving me fits and won't let me login. I will try and get a picture to those who cannot understand what I am about to...
  2. D

    Nonlinear Systems of Equations Question

    Ive been working on a bunch of non linear systems problems for homework and can't figure this one out: y=xcubed x-y=0 I get to the substitution stage and get x-xcubed=0, but you can't factor that so I am wondering what you do next to get the answers for x, and y. Thanks in advance for...
  3. A

    Systems of Equations & World Problems

    Question: The weights of two beluga whales and three orca whales totals 36,000 pounds. The weights of one of the belugas and one of the orcas add up to 13,000 pounds. Using this information only, how much do the belugas weigh? How much do the orcas weigh? Part 1: Write a system of equations...
  4. O

    Solving Systems of Equations: 30%, 55%, 50% Acid Mixture

    Hello, I am stuck on the following problem. How many milliliters of a 30% acid solution and a 55% acid solution must be mixed to obtain 100 milliliters of a 50% acid solution? My solution: Let X = The unknown milliliters of 30% acid. Let Y = The unknown milliliters of 55% acid. (1) X + Y =...
  5. R

    How can I use the Excel solver to solve systems of equations?

    I need to solve this system of equations. 7/10S + 1D <=630 1/2S + 5/6D <= 600 1S + 2/3D <=708 1/10S + 1/4D <=135 I attempted to use the Excel solver to figure it out, but I couldn't understand completely how to work it. Any ideas on how I can get started?
  6. M

    Solving Systems of Equations: #14 & #15

    Hello everyone I started out with 2 matrices, which are 2 separate problems but both want the same thing. It says Solve the system. Here are the 2 problems: http://img141.imageshack.us/img141/8382/matrix9ek.jpg #14 and #15, i got answers for, but I don't know how to put it in that form...
  7. B

    Systems of equations - consistency

    Hello, could someone please help me out with the following questions? Q. Determine the conditions on a, b, c so that the following systems are consistent and find any solutions. a) \begin{array}{l} x + 2y - 3z = a \\ 3x - y + 2z = b \\ x - 5y + 8z = c \\ \end{array} b)...
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