Question

Consider the following system of equations.

Y=3x-7
Y-3x=5
What can you conclude about the system of equations?

The system if equations is inconsistent.

The system of equations is dependent.

The system of equations is independent.

None of these.

Answer 1

The given equation: y = 3x -7 and y - 3x = 5
Before we answer, let’s solve the given equation:
=> y – 3x = -7
=> y – 3x = 5
=> Subtract both equation. Cross out y – 3x, thus the remaining would be
=> -7 and 5; in where -7 is not equals to 5

Thus the system of equations is inconsistent because an inconsistent system has no solution.
And there is no solution found of the given equations.