There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.
They are not. An inequality cannot, by definition, be the same as an equation.
Linear equations or inequalities describe points x y that lie on a circle.
the equation graphs
Rene Descartes was a French mathematician who created the coordinate plane on which linear equations are plotted.
YES, all linear equations have x-intercepts. because of the x, y has to be there 2!
Descartes made the coordinate plane.
No. A linear graph has the same slope anywhere.
Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
Normally no. But technically, it is possible if the two linear equations are identical.
Inequalities have greater than, less than, greater than or equal to, or less than or equal to signs. Equations have an equal sign.
they express linear equations in a visible way
First degree equations ad inequalities in one variable are known as linear equations or linear inequalities. The one variable part means they have only one dimension. For example x=3 is the point 3 on the number line. If we write x>3 then it is all points on the number line greater than but not equal to 3.
Linear has a slope direct does not but both go through the orgin
If the slopes are the same on both graphs, they are parallel, and will never touch.
Yes you can, if the solution or solutions is/are real. -- Draw the graphs of both equations on the same coordinate space on the same piece of graph paper. -- Any point that's on both graphs, i.e. where they cross, is a solution of the system of equations. -- If both equations are linear, then there can't be more than one such point.
A linear equation represents a line. A linear inequality represents part of the space on one side (or the other) of the line defined by the corresponding equation.
Equations are never parallel, but their graphs may be. -- Write both equations in "standard" form [ y = mx + b ] -- The graphs of the two equations are parallel if 'm' is the same number in both of them.
It makes it allot less confusing. But, that is just my opinion.
It means that the coordinates of the point of intersection satisfy the equations of both lines. In the case of simultaneous [linear] equations, these coordinates are the solution to the equations.
The question contains two equations:5x - 6y = 15 5x + y = 2 There are no inequalities in the question.
In question and answer logic answers are given and if they fall in an area bounded by the inequality then it is a good answer. After graphing three or more inequalities the vertexes are the possible maxima of the system of equations.
A system of linear inequalities
y=f(x) and y =g(x) are two linear equation of x. the intersection of their graphs will tel the solution of the equation f(x)=g(x).
Many problems in economics can be modelled by a system of linear equations: equalities r inequalities. Such systems are best solved using matrix algebra.