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THERE ARE THREE QUESTIONS ON THIS PAGE!

PART ONE:

Solve for b
.

−20=−5+3b

(2 points)
b =

Question 2
PART TWO:

Solve for x
.

12x+5=10x−11


(2 points)
x =

Question 3
PART THREE:

Solve for y
.

4(y+2)=2(y+6)



(2 points)
y =

1 answer

Let's solve each part one by one.

PART ONE: Solve for \( b \)

The equation is: \[ -20 = -5 + 3b \]

First, isolate \( 3b \): \[ -20 + 5 = 3b \] \[ -15 = 3b \]

Now, divide both sides by 3: \[ b = \frac{-15}{3} = -5 \]

Answer: \( b = -5 \)

PART TWO: Solve for \( x \)

The equation is: \[ 12x + 5 = 10x - 11 \]

First, isolate \( x \) by moving \( 10x \) to the left: \[ 12x - 10x + 5 = -11 \] \[ 2x + 5 = -11 \]

Now, move 5 to the right: \[ 2x = -11 - 5 \] \[ 2x = -16 \]

Now, divide both sides by 2: \[ x = \frac{-16}{2} = -8 \]

Answer: \( x = -8 \)

PART THREE: Solve for \( y \)

The equation is: \[ 4(y + 2) = 2(y + 6) \]

Distribute both sides: \[ 4y + 8 = 2y + 12 \]

Now, isolate \( y \) by moving \( 2y \) to the left: \[ 4y - 2y + 8 = 12 \] \[ 2y + 8 = 12 \]

Now, move 8 to the right: \[ 2y = 12 - 8 \] \[ 2y = 4 \]

Now, divide both sides by 2: \[ y = \frac{4}{2} = 2 \]

Answer: \( y = 2 \)

Summary of answers:

  1. \( b = -5 \)
  2. \( x = -8 \)
  3. \( y = 2 \)