1 pt What is the difference between the solution of a system of two linear equations and solution of an equation in variable?

Answer 1

In the unique case, the 2x2 system has a solution that is an ordered pair (x,y) while the linear equation has just a single number as a solution.

In the inconsistent case, one or more of the equations leads to a contradiction, so the 2x2 system has NO ORDERED PAIRS that satisfy both equations while the linear equation has NO REAL SOLUTION because it leads to a FALSE statement.

In the insufficient case, there is only one equation with 2 unknowns, so there are infinitely many

ordered pairs that satisfy the system, namely y = mx + b, a straight line where x is the free variable.

In the linear equation, the result is a true statement, so all real numbers satisfy.