What is the value of x - y if 3y - 2x =16 and 5x+ y= - 6A) 6 B) 4 C) -2 D) -6

To find the value of x - y, we first need to solve the two given equations for x and y.

The two equations are:

1. 3y - 2x = 16
2. 5x + y = -6

Let's solve the first equation for x: 2x = 3y - 16 x = (3y - 16) / 2

Now, let's substitute x in the second equation: 5((3y - 16) / 2) + y = -6 (15y - 80) / 2 + y = -6 (15y - 80 + 2y) / 2 = -6 (17y - 80) / 2 = -6 17y - 80 = -12 17y = 68 y = 68 / 17 y = 4

Now, let's substitute y = 4 in the first equation to find x: 3*4 - 2x = 16 12 - 2x = 16 -2x = 16 - 12 -2x = 4 x = 4 / -2 x = -2

Finally, let's find the value of x - y: x - y = -2 - 4 = -6

So, the value of x - y is -6. The correct answer is D) -6.