Question

Solve each of these equations. Explain or show your reasoning. Reduce all fractions in the lowest terms. Do not convert fractions into decimals.

You'll need to show ALL of your work to receive points.

1. 3b + 9 -5b + 3 = -14 + 6b - 8



2. 2x + 5 - 4x + 8 = 5(5 + 6x) - 12x

Answer 1

I can help you!

Answer:

1) b = 17/4

2) x = -3/5

Step-by-step explanation (question one):

Step 1: Simplify both sides of the equation.

3b +9 + −5b + 3 = −14 +6b +−8

(3b +−5b) +(9 +3)=(6b) +(−14 + −8) (Combine Like Terms)

−2b +12 = 6b −22

Step 2: Subtract 6b from both sides.

−2b +12 −6b = 6b −22 −6b

−8b +12 = −22

Step 3: Subtract 12 from both sides.

−8b +12 −12 = −22 −12

−8b = −34

Step 4: Divide both sides by -8.

(-8b/-8) = (-34/-8)

Step 5: Get your Answer

b = 17/4

Step-by-step explanation (question two):

Step 1: Simplify both sides of the equation.

2x +5 + −4x +8 = (5)(5) +(5)(6x) + −12x (Distribute)

2x +5 + −4x +8 = 25 +30x + −12x

(2x+−4x) + (5+8) = (30x +−12x) +(25) (Combine Like Terms)

−2x +13 = 18x +25

Step 2: Subtract 18x from both sides.

−2x +13 −18x= 18x +25 −18x

−20x +13 = 25

Step 3: Subtract 13 from both sides.

−20x +13 −13 = 25 −13

−20x=12

Step 4: Divide both sides by -20.

(-20x/-20) = (12/-20)

Step 5: Get your Answer

x = -3/5

Hope this helped you, good luck with your homework!