Madisonbailey52idn
Answered

Discover new information and insights with the help of IDNLearn.com. Join our interactive Q&A community and access a wealth of reliable answers to your most pressing questions.

Here is a diagram and its corresponding equation. Find the solution to the equation.
WILL GIVE BRIANLIEST!!
4 (x + 7) = 38

x=

Sagot :

Jeremiahmandukicidn
4(x + 7) = 38

Since there is no operation sign between the 4 and parenthesis, it makes it an automatic multiplication problem.

You would use distributive property to multiply each which should leave your equation looking like this afterwards:

4x + 28 = 38
(4 times x and 4 times 7)

You would then solve it like a two step equation,

1. +28 - 28 = 0
2. 38 - 28 = 10

4x = 10

10 divided by 4 = 2.5

x = 2.5

We can recheck our work by substituting in the value of x.

4(2.5 + 7) = 38

10 + 28 = 38

When we substituted in the value, it gave us the correct inequality.

Therefore,
x = 2.5
Chetankachanaidn

Answer:

x = 2.5

Step-by-step explanation:

Hello!
Let's solve the equation together :)

Solve:

  • 4(x + 7) = 38      => Over here, we want to multiply x and 7 by 4, or distribute 4 to both numbers inside the parenthesis.

  • 4(x) + 4(7) = 38   =>See how I split the multiplication apart? That's called the Distributive Property

  • 4x + 28 = 38      => Simplify. Now subtract 28 from both sides

  • 4x = 10               =>Now that we multiply x by 4, we divide both sides to isolate x

  • x = 10/4             => Simplify

  • x = 2.5

Your answer is x = 2.5

Check:

Plug in 2.5 into our equation

  • 4(x + 7) = 38
  • 4(2.5 +7) = 38
  • 4(2.5) + 4(7) = 38
  • 10 + 28 = 38
  • 38 = 38

Both sides match so our answer is correct.

Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.