A system of linear equations means two or more linear equations. (In plain speak: 'two or more lines') If these two linear equations intersect, that point of intersection is called the solution to the system of linear equations.
Answer: A system of equation just means 'more than 1 equation.'. A system of linear equations is just more than 1 line, see the picture:
Ok, so what is the solution of a system of equations?
Answer: The solution is where the equations 'meet' or intersect. The red point on the right is the solution of the system.
How many solutions can systems of linear equations have?
There can be zero solutions, 1 solution or infinite solutions--each case is explained in detail below. Note: Although systems of linear equations can have 3 or more equations,we are going to refer to the most common case--a stem with exactly 2 lines.
Case I: 1 Solution
the most common situation and it involves lines that intersect exactly 1 time.