Although there are similarities, the solutions to a linear equation comprise all points on one line: a one-dimensional object. The solutions to a linear inequality comprise all points on one side [or the other] of a line: a two-dimensional object.
There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.
Yes.
Yes.
Somewhat, but the rules are a bit different for inequalities. Example. -2X > 4 X < - 2 See, sign changes when dividing by negative coefficient.
An equation is composed of mathematical statements, which can be arranged to result in a series of equations/inequalities which can be solved for each unknown.
Yes, they refer to the same thing.
It could be a linear equation in two variables. A single linear equation in two variables cannot be solved.
This is a linear algebra question and it is incomplete since there are no equation which have to be solved.
One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.One linear equation in two variable cannot be solved. It is possible to express either of the two variables in terms of the other but a solution is not possible.
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Many problems in economics can be modelled by a system of linear equations: equalities r inequalities. Such systems are best solved using matrix algebra.
3X = 5Y solve for Y Y = 3/5X this is by definition a linear equation solved. You can plat this straight line on a graph.