How many solutions are we looking for when solving a system of equations? inequalities?
See solution.
Practice makes perfect
Let's go through the differences and similarities one at a time.
Differences
There are a couple of main differences we can think off
Solving a system of linear equations we are looking for the point when the graphs intersect. Conversely, when solving a system of linear inequalities, we are looking for a range of solutions.
While the solutions to a system of linear equations can be illustrated algebraically such as y=3 x=5,the solutions to a system of linear inequalities is better illustrated graphically like below.
Similarities
There are not that many similarities between solving systems of equations and inequalities. The main similarity is that we are looking for solutions that makes all equations/inequalities true simultaneously in our system.
