Question

Classify the system (options: consistent, independent consistent, inconsistent)3x + 2y = 73x - 4y = 9

Answer 1

Let's look at the graphical solution of the pair of simultaneous equations

From the graph, we can see that the equations have at least one solution, which are 2.556, and -0.333. Hence, it is said to be consistent.

Now, since the solutions intersect only at one place, it means that it has exactly one solution. If a consistent equation has exactly one solution, it is said to be independent.

Therefore, the systems of equations are consistent and independent