Question

y = 7x + 10
Rewrite the following equation in standard


Hint: The standard form of a linear equation isAx + By = C where A and B are not both zero, and A, B, and C are integers whose GCF is 1.

Answer 1

To rewrite the equation \( y = 7x + 10 \) in standard form \( Ax + By = C \), we need to rearrange it.

Starting with the equation:

\[
y = 7x + 10
\]

We can rearrange it by moving \( 7x \) to the left side:

\[
-7x + y = 10
\]

Now, to put it in standard form, we typically want \( A \) to be positive. So, we can multiply the entire equation by -1:

\[
7x - y = -10
\]

Now, \( A = 7 \), \( B = -1 \), and \( C = -10 \).

This gives us the final equation in standard form:

\[
7x - y = -10
\]

To check if \( A \), \( B \), and \( C \) can be simplified:

- The greatest common factor (GCF) of 7, -1, and -10 is 1, meaning they cannot be simplified further.

Thus, the standard form of the equation is:

\[
7x - y = -10
\]