Question

Solve using substitution method y=2x-44x-2y=-2

Answer 1

Substituting the first equation in the second one we get:

`4x-2(2x-4)=-2.`

Applying the distributive property to the above equation we get:

`\begin{gathered} 4x-2\cdot2x-2\cdot(-4)=-2, \\ 4x-4x+8=-2. \end{gathered}`

Adding like terms we get:

`8=-2.`

The above result is a contradiction, therefore the system has no solutions.

Answer: The given system of equations has no solutions.