Final answer:
To convert the given equation to standard form, distribute the 9 to both terms inside the parenthesis, then combine like terms. The standard form is 13x + 9y = 10.
Step-by-step explanation:
To convert the equation 4x + 9(y + x) = 10 to standard form (ax + by = c), we need to simplify and rearrange it. First, distribute the 9 to both terms inside the parenthesis:
Combine like terms (4x and 9x):
This is the standard form where a is 13, b is 9, and c is 10.