2x - y = 5 x + 3y = 7 what is the value of the y-determinant? 7 9 22

9 is the correct answer.

Step-by-step explanation:

The general form of the determinant of the given system

ax + by = e

cx + dy = f

is

Now, we have the given system, i.e.

2x - y = 5

x + 3y = 7

The y-determinant of a system is formed by taking the constant terms and placing them in the y‐coefficient positions in the general determinant form and keeping the x-coefficients same.

So, we get,

Solve the above determinant i.e. 2*7 - 1*5 = 14 - 5 = 9

Hence, the value of y-determinant is 9.

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)