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Q: When you graph linear equations by plotting points the points you plot should all be what?

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Solve the following systems of simultaneous linear equations using Gauss elimination method and Gauss-Seidel Method 2x1+3x2+7x3 = 12 -----(1) x1-4x2+5x3 = 2 -----(2) 4x1+5x2-12x3= -3 ----(3) Answer: I'm not here to answer your university/college assignment questions. Please refer to the related question below and use the algorithm, which you should have in your notes anyway, to do the work yourself.

When you are solving a system of linear equations, you are looking for the values for the unknown variables (usually named x and y) that make each equation in the system true. Instead of using algebraic substitution or elimination, you can use graphing to find the variables. If you graph each equation on the same graph, the point where the graphs cross is the answer, which should be given as an ordered pair in the form (x,y). If the graphs do not cross anywhere (for example, parallel lines) then there is no solution. If the graphs of two lines end up being the same line, then there are an infinite number of solutions. You must know how to graph a line in order to use this method.

Calculus is higher than Algebra. There are also courses on Linear Algebra and Differential Equations that are higher than college Algebra. If you contact the Math department of any college they should be able to give you a specific answer as to what courses they correspond with and what a challenging math class would be.

Absolute Value means the distance from 0, and so you should solve the equation with the number inside the Absolute Value lines as a positive and then solve again as a negative.

You should multiply the number of inches by 1/12. For example, when you multiply 1/12 of 24 inches, you get two feet. It's very easy.

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It makes it allot less confusing. But, that is just my opinion.

It means that you should draw the equation (or set of points) given by plotting it on a two-dimensional coordinate plane.

There is absolutely no REQUIREMENT to do so. It is simply that many people prefer to work with whole numbers.

Linear algebra is used to analyze systems of linear equations. Oftentimes, these systems of linear equations are very large, making up many, many equations and are many dimensions large. While students should never have to expect with anything larger than 5 dimensions (R5 space), in real life, you might be dealing with problems which have 20 dimensions to them (such as in economics, where there are many variables). Linear algebra answers many questions. Some of these questions are: How many free variables do I have in a system of equations? What are the solutions to a system of equations? If there are an infinite number of solutions, how many dimensions do the solutions span? What is the kernel space or null space of a system of equations (under what conditions can a non-trivial solution to the system be zero?) Linear algebra is also immensely valuable when continuing into more advanced math topics, as you reuse many of the basic principals, such as subspaces, basis, eigenvalues and not to mention a greatly increased ability to understand a system of equations.

chemical equations should be balanced as an equation should have its rhs and lhs equal.

The system of equations can have zero solutions, one solution, two solutions, any finite number of solutions, or an infinite number of solutions. If it is a system of LINEAR equations, then the only possibilities are zero solutions, one solution, and an infinite number of solutions. With linear equations, think of each equation describing a straight line. The solution to the system of equations will be where these lines intersect (a point). If they do not intersect at all (or maybe two of the lines intersect, and the third one doesn't) then there is no solution. If the equations describe the same line, then there will be infinite solutions (every point on the line satisfies both equations). If the system of equations came from a real world problem (like solving for currents or voltages in different parts of a circuit) then there should be a solution, if the equations were chosen properly.

all equations balance as the theory of conservation of mass states that no mass should be lost, so all equations should balance

There can be a few reasons. One reason is that the line is wrong, either it has been placed wrong or it is the wrong type of line (linear when it should be exponential) there may even be no line to fit the pattern. Another reason is that simply the real world data points don't fit a correlation exactly, this is why the line is referred to as a "line of best fit" it is the best representation from the data points. One last reason is that the data is wrong either by a plotting error or some other error in the data collection.

it should be your c value in equations

It will just be the gradient of the function, which should be constant in a linear function.

This is a linear molecule.

The Newton-Raphson method works if the equations are differentiable over the domain. Let f(x) be the non-linear equation and f'(x) by its derivative [with respect to x]. Start with a reasonable guess at the answer, x0. Then calculate the sequence xn+1 = xn - f(xn)/f'(xn) for n = 0, 1, 2, â€¦ The N-R method should converge to a root.

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