Question

rewrite the equation in ax + by = c form. use integers for a, b, and c. y - 1 = -3(x + 4)

Explanation:

Step1: Expand the right side

We expand \(-3(x + 4)\) using the distributive property \(a(b + c)=ab+ac\). So, \(-3(x + 4)=-3x-12\). The equation becomes \(y - 1=-3x-12\).

Step2: Move all terms to left side

Add \(3x\) to both sides: \(3x + y - 1=-12\). Then add \(1\) to both sides: \(3x + y=-12 + 1\).

Step3: Simplify the constant term

Simplify \(-12 + 1=-11\). So the equation in \(Ax+By = C\) form is \(3x + y=-11\).

Answer:

\(3x + y=-11\)