Question

solve each system. y = - 3x - 3 y = 4x + 4

Explanation:

Step1: Set the two equations equal

Since \(y=-3x - 3\) and \(y = 4x+4\), we set \(-3x - 3=4x + 4\).

Step2: Solve for x

Add \(3x\) to both sides: \(-3=4x+3x + 4\), which simplifies to \(-3 = 7x+4\). Then subtract 4 from both sides: \(-3-4=7x\), so \(-7 = 7x\). Divide both sides by 7, we get \(x=-1\).

Step3: Solve for y

Substitute \(x = - 1\) into \(y = 4x+4\). Then \(y=4\times(-1)+4=-4 + 4=0\).

Answer:

\(x=-1,y = 0\)