To simplify the equation \((4x - 16y - 100) + (9x + y - 1) = 0\), we can combine like terms:
Combine the \(x\) terms: \[ 4x + 9x = 13x \]
Combine the \(y\) terms: \[ -16y + y = -15y \]
Combine the constant terms: \[ -100 - 1 = -101 \]
Now, we can rewrite the equation: \[ 13x - 15y - 101 = 0 \]
To write the equation in a more standard form, we can isolate \(y\): \[ 15y = 13x - 101 \] \[ y = \frac{13}{15}x - \frac{101}{15} \]
This is the simplified form of the equation. Let me know if you need further help!