Find the solution of the system of equations.5, x, minus, y, equals, 445x−y=44minus, 3, x, minus, y, equals, minus, 12−3x−y=−12

The system of equations given is:

1. 5x - y = 44
2. -3x - y = -12

To solve this system of equations, we can use the method of elimination or substitution. Here, I'll use the method of elimination.

First, we can add the two equations together:

(5x - y) + (-3x - y) = 44 + (-12)

This simplifies to:

2x - 2y = 32

We can divide the entire equation by 2 to simplify it further:

x - y = 16

This is our new equation.

Next, we can substitute (x - y) into one of the original equations. I'll substitute it into the first equation:

5(x - y) = 44

This simplifies to:

5x - 5y = 44

Substituting x - y = 16 into this equation gives:

5(16) = 44

This simplifies to:

80 = 44

This is not possible, so there is no solution to the system of equations.