4) -3x - 3y = 3\n y = -5x - 17

4) -3x - 3y = 3\n y = -5x - 17

4) -3x - 3y = 3\n y = -5x - 17

Answer

Explanation:

Step1: Substitute y into first - equation

Substitute $y=-5x - 17$ into $-3x-3y = 3$. We get $-3x-3(-5x - 17)=3$.

Step2: Expand the equation

Expand $-3x-3(-5x - 17)=3$ to $-3x + 15x+51 = 3$.

Step3: Combine like - terms

Combine $-3x$ and $15x$: $(-3 + 15)x+51 = 3$, which simplifies to $12x+51 = 3$.

Step4: Isolate the variable term

Subtract 51 from both sides: $12x=3 - 51$, so $12x=-48$.

Step5: Solve for x

Divide both sides by 12: $x=\frac{-48}{12}=-4$.

Step6: Solve for y

Substitute $x = - 4$ into $y=-5x - 17$. Then $y=-5\times(-4)-17=20 - 17 = 3$.

Answer:

$x=-4,y = 3$