Question

6.
Write y = x + 7 in standard form using integers.

Answer 1

To write the equation \( y = x + 7 \) in standard form using integers, we want it in the format \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers and \( A \) is non-negative.

Starting with the original equation:

\[
y = x + 7
\]

To rearrange this into standard form, we can subtract \( x \) from both sides:

\[
-y + x = 7
\]

Next, we can rewrite it as:

\[
x - y = 7
\]

Now, this is in the standard form \( Ax + By = C \) where \( A = 1 \), \( B = -1 \), and \( C = 7 \).

Thus, the equation in standard form is:

\[
x - y = 7
\]