Question

4.
Write y = 1/6x + 7 in standard form using integers.

Answer 1

To convert the equation \( y = \frac{1}{6}x + 7 \) into standard form using integers, we need to rearrange it into the form \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers.

Start by eliminating the fraction by multiplying every term in the equation by 6 (the denominator):

\[
6y = x + 42
\]

Next, rearrange the equation by moving \( x \) to the left side:

\[
-x + 6y = 42
\]

To express it in the standard form \( Ax + By = C \), we typically prefer \( A \) to be positive. Thus, we can multiply the entire equation by -1:

\[
x - 6y = -42
\]

Now we have the equation in standard form:

\[
x - 6y = -42
\]

This is the required form using integers.