Question

How do you solve the linear equation 2x-y=3 and 2x=4x-6 using the substitution method and are they dependent, independent, or inconsistent?

Answer 1

`x=3, y=3`

Independent and consistent.

Explanation:

Assuming that there is no error in the question

Second Equation gives the value of `x` as follows
`2x=4x-6` Taking all terms containing `x` to one side
`implies 2x-4x=-6`
`implies x=(-6)/-2`
`or x=3`
Now substituting the value of `x` thus obtained above we find the value of `y`
`2x-y=3`
`implies y=3`

The set of equations have a valid solution.