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Complete the table below to find solutions to the linear equation -4x+4y=16

Complete the table below to find solutions to the linear equation -4x+4y=16-example-1

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Given equation,


-4x+4y=16

Now, put x = 0 in the given equation.


\begin{gathered} -4*0+4y=16 \\ 4y=16 \\ y=4 \end{gathered}

Thus, the point (x,y) will be (0,4).

Now, put x =3


\begin{gathered} -4*3+4y=16 \\ -12+4y=16 \\ 4y=16+12 \\ 4y=28 \end{gathered}

Now,


\begin{gathered} y=(28)/(4) \\ y=7 \end{gathered}

Thus, the point (x,y) will be (3,7).

Now put y = 0


\begin{gathered} -4x+4y=16 \\ -4x+4*0=16 \\ -4x=16 \\ x=-4 \end{gathered}

Thus, the point (x,y) will be (-4,0).

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