What kind of system is y = 3x – 5, 2x + y = 8?Question 16Select one:a.Independentb.Inconsistentc.Dependentd.Bizarree.None of these

To determine the type of system the equations form, we need to put them in the same format. The standard format is Ax + By = C. The first equation is already in this format: y = 3x - 5. The second equation can be rearranged to y = -2x + 8.

Now, we compare the coefficients of x and y in both equations:

In the first equation, the coefficient of x is 3 and in the second equation, it is -2. Since these coefficients are not equal, the lines represented by these equations are not parallel.

In the first equation, the y-intercept is -5 and in the second equation, it is 8. Since these y-intercepts are not equal, the lines represented by these equations do not coincide.

Since the lines are not parallel and do not coincide, they will intersect at exactly one point. Therefore, the system of equations is independent. So, the answer is a. Independent.