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{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.

X 5y 94x 4y 12Step 2 Of 2 Determine If The Point 04 Lies On Both Of The Lines In The System Of Equations By Substituting Theordered Pair Into Both Equations class=

Answer :

Given:

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

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

[tex]\begin{gathered} x-5y=-9 \\ (-4)-5(1)=-9 \\ -4-5=-9 \\ -9=-9 \end{gathered}[/tex]

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

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

[tex]\begin{gathered} 4x+4y=-12 \\ 4(-4)+4(1)=-12 \\ -16+4=-12 \\ -12=-12 \end{gathered}[/tex]

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

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

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