Question

Use elimination to solve eachsystem of equations3x - y = -56x - 2y = 8

Answer 1

We are given the pair of simultaneous equation

`\begin{gathered} 3x-y=-5\ldots\ldots\ldots\ldots\ldots(1) \\ 6x-2y=8\ldots\ldots\ldots\ldots\ldots\ldots(2) \end{gathered}`

we solve using elimination method

equation (1) x 2

`\begin{gathered} 6x-2y=-10\ldots\ldots\ldots\ldots\ldots(1) \\ 6x-2y=8\ldots\ldots\ldots\ldots\ldots\ldots(2) \end{gathered}`

Equation (2) - equation (1)

We have

`\begin{gathered} (6x-6x)+(-2y+2y)=8-(-10) \\ 0=18 \end{gathered}`

Which is impossible because 0 (zero) can never be equal to 18

Therefore, the simultaneous is not consistent or it degenerate and thus, there is no solution