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.
Yes.
Yes.
There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.
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.
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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.
Many problems in economics can be modelled by a system of linear equations: equalities r inequalities. Such systems are best solved using matrix algebra.
A single linear equation in two variables cannot be solved.