Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Which sentence explains the correct first step in the solution of this equation?

4(x−3)=9

Add 2 to both sides.


Apply the distributive property to get 4x−12=9.


Apply the distributive property to get 4x−3=9.


Subtract 9 from both sides.


Sagot :

Answer:

B. Apply the distributive property to get 4x-12=9

[tex]\boxed{\sf{x=\dfrac{21}{4}=5.25 }}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

Use the distributive property.

Distributive property:

[tex]\Longrightarrow: \sf{A(B+C)=AB+AC}[/tex]

4(x-3)=9

Expand the form multiply.

4*x=4x

4*3=12

Rewrite the problem down.

4x-12=9

Add by 12 from both sides.

4x-12+12=9+12

Solve.

Add the numbers from left to right.

9+12=21

4x=21

Divide by 4 from both sides.

4x/4=21/4

Solve.

Divide the numbers from left to right.

x=21/4

21/4=5.25

x=21/4=5.25

  • Therefore, the final answer is x=21/4=5.25.

I hope this helps you! Let me know if my answer is wrong or not.