What is the standard form of the following equation?

Question

y + 3 = 14x
Use integers for A, B, and C. Enter your answer in the box.

Answer 1

To convert the equation \( y + 3 = 14x \) to standard form, we want to achieve the format \( Ax + By = C \), where \( A \), \( B \), and \( C \) are integers.

Starting with the equation:

\[ y + 3 = 14x \]

First, we can subtract \( 14x \) from both sides to rearrange it:

\[ -14x + y + 3 = 0 \]

Now, isolate the terms:

\[ -14x + y = -3 \]

To convert this into standard form with a positive coefficient for \( x \), we can multiply the entire equation by \(-1\):

\[ 14x - y = 3 \]

This can be rewritten as:

\[ 14x - y = 3 \]

Now we see that \( A = 14 \), \( B = -1 \), and \( C = 3 \).

Thus, the standard form of the equation is:

\[ 14x - y = 3 \]