Question

Please help me (explain how to do it and give the answer).

Answer 1

Answer:

The given system of equations is ''consistent and independent''.

Step-by-step explanation:

Given the system of equations

2x-y=-3    ---- Equation A

4x-2y=-6  ---- Equation B

Please observe that each line of the system of equations can be written in two different forms

For example,

2x-y=-3    ---- Equation A

multiply Equation A by the number 2

2(2x-y) = -3×2

4x-2y = -6  ---- Equation B

So, when we multiplied Equation A by 2, we got the Equation B

We know that when the same line can be written in two different forms, then the system will be termed as the dependent system of equations and there would be infinite solutions.

In other words, it would contain the same line.

From the attached diagram, it is clear that 2x-y=-3 and 4x-2y=-6 represent the same line.

Thus,

The given system of equations is ''consistent and independent''.