Question

{x- 5y = -94x + 4y = -12Step 2 of 2: Determine if the point (0,4) lies on both of the lines in the system of equations by substituting theordered pair into both equations.

Answer 1

Given:

`\begin{gathered} x-5y=-9\ldots\ldots(1) \\ 4x+4y=-12\ldots\ldots\text{.}(2) \end{gathered}`

Let's check the ordered pair (-4,1) in the first equation

`\begin{gathered} x-5y=-9 \\ (-4)-5(1)=-9 \\ -4-5=-9 \\ -9=-9 \end{gathered}`

Hence, (-4,1) is the solution of the first equation.

Now, check (-4,1) in the second equation

`\begin{gathered} 4x+4y=-12 \\ 4(-4)+4(1)=-12 \\ -16+4=-12 \\ -12=-12 \end{gathered}`

So, (-4,1) is the solution of the second equation.

Hence, (-4,1) is the solution of both systems of the equation.