Question

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

Answer 1

Given equation,

$-4x+4y=16$

Now, put x = 0 in the given equation.

$\begin{gathered} -4\times0+4y=16 \\ 4y=16 \\ y=4 \end{gathered}$

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

Now, put x =3

$\begin{gathered} -4\times3+4y=16 \\ -12+4y=16 \\ 4y=16+12 \\ 4y=28 \end{gathered}$

Now,

$\begin{gathered} y=\frac{28}{4} \\ y=7 \end{gathered}$

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

Now put y = 0

$\begin{gathered} -4x+4y=16 \\ -4x+4\times0=16 \\ -4x=16 \\ x=-4 \end{gathered}$

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