You cannot solve a single linear equation with two variables. At best you can express one variable in terms of the other.
Linear Algebra is a branch of mathematics that enables you to solve many linear equations at the same time. For example, if you had 15 lines (linear equations) and wanted to know if there was a point where they all intersected, you would use Linear Algebra to solve that question. Linear Algebra uses matrices to solve these large systems of equations.
You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.
A proportion is an equation that states that two ratios are equal.
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
Functions and linear equations are the same in that they both deal with x and y coordinates and points on a graph but have differences in limitations, appearance and purpose. Often, functions give you the value of either x or y, but linear equations ask to solve for both x and y.
no
No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.
The same as a meter. It is called "linear" to distinguish it from square or cubic meter, but the "linear" can really be omitted.The same as a meter. It is called "linear" to distinguish it from square or cubic meter, but the "linear" can really be omitted.The same as a meter. It is called "linear" to distinguish it from square or cubic meter, but the "linear" can really be omitted.The same as a meter. It is called "linear" to distinguish it from square or cubic meter, but the "linear" can really be omitted.
They are not. An inequality cannot, by definition, be the same as an equation.
Yes, they refer to the same thing.
Quite simply, the latter is a group of the former.A system of linear equations is several linear equations taken together, each using the same group of unknowns. Usually, such a system provides one linear equation for each unknown (x, y, z, et al) that must be found (more complex systems can exist, though). You can use and manipulate these linear equations as you would a single linear equation to help solve for the unknowns. One way is to reduce all but one of the unknowns so that each can be expressed in terms of the remaining unknown and then solve for the remaining unknown which would in turn give you the others.
Yes.