WHY do we study linear equations?
471523
A linear equation in two variables describes a relationship in which the value of one of the variables depends on the value of the other variable. In a linear equation in x and y, x is called x is the independent variable and y depends on it. We call y the dependent variable. If the variables have other names, yet do have a dependent relationship, the independent variable is plotted along the horizontal axis. Most linear equations are functions (that is, for every value of x, there is only one corresponding value of y). When you assign a value to the independent variable, x, you can compute the value of the dependent variable, y. You can then plot the points named by each (x,y) pair on a coordinate grid. The real importance of emphasizing graphing linear equations with your students, is that they should already know that any two points determine a line, so finding many pairs of values that satisfy a linear equation is easy: Find two pairs of values and draw a line through the points they describe. All other points on the line will provide values for x and y that satisfy the equation.\n\n\nA linear equation is special because: \n-It has one or two variables. \n-No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. \n-When you find pairs of values that make the linear equation true and plot those pairs on a coordinate grid, all of the points for any one equation lie on the same line. Linear equations graph as straight lines.
3783
Actually, that's untrue.  You don't need to be a mathematician to need to use algebra.  Algebra helps you calculate many things and solve problems relating to groceries, finance, construction and much more.  I agree, it is tough and often boring to learn, however it is quite useful.
319242
the following website talks about solving Systems of Linear Equations using Graphs
616552
yes...\n\nbecause it is in the form of ax+by=c.\n\nbut if u rearrange the equation to y=(4/5)x-4\nwhich is in the form of y=mx+c, with m is the gradient and c is the y-intercept, it is not a linear equation, but rather a "Cartesian equation".
540264
a linear equation is just x+y=a number, or y=x+a number.  It could also have a coefficient in front of x or y in either equation.  To graph it, either use the slope-intercept form, where you take y=x+a number, the coefficient in front of x is the slope, and the number after x is the y-intercept, so, you plot (0, the number) and use the slope to find another point, then draw your line.  The second is to find two or three points that fit the equation and plot them.  Just substitute a number in for x two or three times, find y each time, and plot those numbers, then draw a line through them.
615433
The notion of a Vector space, a mathematical system of a certain kind, has developed into one of the richest concepts in both pure and applied mathematics.\n\nThe concept of vector space pervades mathematics, engineering and the sciences. The questioner is surely familiar with vectors in the form of directed line segment or columns of numbers studied in calculus and mechanics. \n\nThe scope of a general notion of vector is much broader than these examples. For example, functions, matrices and the operation of differentiation will turn out to be vectors.\n\nVector spaces turn up in a wide variety of studies. For example, vector space arise naturally in the study of solutions of systems of equations, geometry in 3-space, solutions of differential equations, finite elements, discrete and continuous Fourier transforms, quantum mechanics, approximation theory and the study of a wide variety of other mathematical and scientific disciplines
695544
You could be, but who knows? You might be brilliant! Doesn't one course build upon the other? (Except parts of Linear Algebra, which is somewhat different, however it does use integrals and infinite series and lots of stuff I seem to recall might require that you know differential equations and integration . ) It has been 17 years since I had this series of math in college, but that's what my vague remembrances tell me! I'm not sure how often basic math curricula change over time but probably not that much...
599765
When graphed, a linear equation will form a straight line while a non linear equation will not be a straight line
124660
Math.  Why do we need to know half of the things they teach us in it???
616388
At my school it's just a pre-college Algebra course.  Basically you learn simple equations, graphing and matrixes.
857551
Stoichiometry is the calculation of quantities (measure) of reactants in a chemistry equation.  You have x volumes of A added to y volumes of B gives z volumes of C plus u volumes of D . \nSo you have one algebraic linear equation  \nSupposing you have many chemical reactions happening simultaneously in a container, you would have many equations concerning the same quantities x,y,z,u . \nThat's when you use Matrix algebra to solve sets of simultaneous linear equations.
942925
The answer is somewhere in your text book. That's why you're supossed to read it.
752791
you mean f(x)=3x+2, for example?\n\nreplace f(x) with Y, graph and solve as a normal equation. Linear functions have infinite whole solutions, depending on what you want Y to be.\n\nOf course, I could be minunderstanding you completely. If so, sorry.
910755
In mathematics, a matrix (plural matrices) is a rectangular table of numbers or, more generally, a table consisting of abstract quantities that can be added and multiplied. Matrices are used to describe linear equations, keep track of the coefficients of linear transformations and to record data that depend on two parameters. Matrices can be added, multiplied, and decomposed in various ways, making them a key concept in linear algebra and matrix theory.
633678
Never Bounded.  Sometimes there is no solution and thus no bounds to the solution set. Sometimes the solution set goes from a number to infinity and thus there is no bounds for the solution set.  Those are the general rules that is.  Although, thinking about it, I think that most linear systems of equations are never totally bounded.  Others are bounded due to curves and shape and things, but I think that linear systems are usually unbounded (when there is only two of them that is).
996164
Assuming A, B, and C to be constants, this is an equation that defines a linear relation between variables x and y. There are a number of places where this would appear, but it would be easier to see it in the form y = -(A/B)x + (C/B), its equivalent.
166221
Gaining new understanding about why things work.