7x - y =7

x 0 1 2 3 4
y

1 answer

To find the values of \( y \) corresponding to the values of \( x \) in the equation \( 7x - y = 7 \), we can rearrange the equation to solve for \( y \):

\[ y = 7x - 7 \]

Now, we can substitute the given values of \( x \) into the equation to find the corresponding values of \( y \):

  1. For \( x = 0 \):

\[ y = 7(0) - 7 = -7 \]

  1. For \( x = 1 \):

\[ y = 7(1) - 7 = 0 \]

  1. For \( x = 2 \):

\[ y = 7(2) - 7 = 7 \]

  1. For \( x = 3 \):

\[ y = 7(3) - 7 = 14 \]

  1. For \( x = 4 \):

\[ y = 7(4) - 7 = 21 \]

Now, compiling the values of \( y \) for the corresponding values of \( x \):

\[ \begin{align*} x & : 0, 1, 2, 3, 4 \ y & : -7, 0, 7, 14, 21 \end{align*} \]

So, the pairs \((x, y)\) are:

  • \( (0, -7) \)
  • \( (1, 0) \)
  • \( (2, 7) \)
  • \( (3, 14) \)
  • \( (4, 21) \)