Question

1. what value of x will make the expression -3x - 5 equal to

a) 19 ?
b) 7 ?
c) -14 ?
d) -26 ?

Explanation:

Part (a)

Step1: Set up the equation

We set the expression \(-3x - 5\) equal to \(19\), so we have the equation \(-3x - 5=19\).

Step2: Add 5 to both sides

Adding \(5\) to both sides of the equation gives \(-3x-5 + 5=19 + 5\), which simplifies to \(-3x=24\).

Step3: Divide by - 3

Dividing both sides of the equation \(-3x = 24\) by \(-3\), we get \(x=\frac{24}{-3}=-8\).

Step1: Set up the equation

We set the expression \(-3x - 5\) equal to \(7\), so we have the equation \(-3x - 5 = 7\).

Step2: Add 5 to both sides

Adding \(5\) to both sides of the equation gives \(-3x-5 + 5=7 + 5\), which simplifies to \(-3x=12\).

Step3: Divide by - 3

Dividing both sides of the equation \(-3x=12\) by \(-3\), we get \(x=\frac{12}{-3}=-4\).

Step1: Set up the equation

We set the expression \(-3x - 5\) equal to \(-14\), so we have the equation \(-3x - 5=-14\).

Step2: Add 5 to both sides

Adding \(5\) to both sides of the equation gives \(-3x-5 + 5=-14 + 5\), which simplifies to \(-3x=-9\).

Step3: Divide by - 3

Dividing both sides of the equation \(-3x=-9\) by \(-3\), we get \(x=\frac{-9}{-3}=3\).

Answer:

\(x = - 8\)

Part (b)