Linear equations are always functions.
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Linear equations are a tiny subset of functions. Linear equations are simple, continuous functions.
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
A system of linear equations.
y = x
A linear equation is a special type of function. The majority of functions are not linear.
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.
They are called simultaneous equations.
a system of equations
They are not. An inequality cannot, by definition, be the same as an equation.
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.