# 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?

Jan 25, 2016

$x = 3 , y = 3$

Independent and consistent.

#### Explanation:

Assuming that there is no error in the question

Second Equation gives the value of $x$ as follows
$2 x = 4 x - 6$ Taking all terms containing $x$ to one side
$\implies 2 x - 4 x = - 6$
$\implies x = \frac{- 6}{-} 2$
$\mathmr{and} x = 3$
Now substituting the value of $x$ thus obtained above we find the value of $y$
$2 x - y = 3$
$\implies y = 3$

The set of equations have a valid solution.