Question

Consider the following system of equations.

y = 2x - 2
y - 2x = 5
What can you conclude about the system of equations?

The system of equations is inconsistent.

The system of equations is dependent.

The system of equations is independent.

none of these

Answer 1

The system of equations is dependent

Explanation:

no solutions are provided for these two equations

Answer 2

Given Equation:
=> y = 2x – 2
=> y - 2x = 5
Let’s solve to given equation first, before we give the answer
=> y - 2x = 2
=> y - 2x = 5
Subtract both equation:
Since y and 2x is present on both equation, cross out and the remaining value is 2 and 5
=> 2 + 5
=> 7
Since this given equation has 1 answer, thus this equation belongs to the dependent system of equation.