Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Part A: Solve the equation 5(x + 2) = 6x + 3x − 14, and show your work. (5 points)

Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed. (5 points)


Distributive Property
Subtraction Property of Equality
Combine Like Terms
Multiplication Property of Equality
Division Property of Equality
Given
Addition Property of Equality

Sagot :

charlief22

Answer:

x = 6

Step-by-step explanation:

Step 1 - Expand brackets via distributive property:

[tex]5(x + 2) = 6x + 3x - 14\\5(x) + 5(2) = 6x + 3x - 14\\5x + 10 = 6x + 3x - 14[/tex]

Step 2 - Combine like terms:

[tex]5x + 10 = 6x + 3x - 14\\5x + 10 = 9x - 14[/tex]

Step 3 - Use the addition property of equality to isolate the 9x:

[tex]5x + 10 = 9x - 14\\5x + 10 + 14 = 9x - 14 + 14\\5x + 24 = 9x[/tex]

Step 4 - Use the subtraction property of equality to move the 5x over and isolate the 24:

[tex]5x + 24 = 9x\\5x + 24 - 5x = 9x - 5x\\24 = 4x[/tex]

Step 5 - Use the division property of equality to simplify:

[tex]4x = 24\\\\\frac{4x}{4} = \frac{24}{4}\\\\x = 6[/tex]

Hope this helps!

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.