Math Problem Statement

Solve the following equations: (1) 3/4 * x = 12, (2) 13 = 6k, (3) k + 4 = 13, (4) 11 = -6 + k, (5) 12 = -4 + f, (6) 20 = 4n

Solution

I can now see the image. It contains several math problems. Let's extract and solve each one:

  1. 34x=12\frac{3}{4} x = 12
  2. 13=6k13 = 6k
  3. k+4=13k + 4 = 13
  4. 11=6+k11 = -6 + k
  5. 12=4+f12 = -4 + f
  6. 20=4n20 = 4n

Let's begin solving each of these equations step by step.Here are the solutions to the equations:

  1. 34x=12\frac{3}{4}x = 12x=16x = 16
  2. 13=6k13 = 6kk=136k = \frac{13}{6} (approximately 2.17)
  3. k+4=13k + 4 = 13k=9k = 9
  4. 11=6+k11 = -6 + kk=17k = 17
  5. 12=4+f12 = -4 + ff=16f = 16
  6. 20=4n20 = 4nn=5n = 5

Let me know if you need further clarifications or more details.

Here are 5 related questions to deepen your understanding:

  1. How do you solve equations with fractions like 34x=12\frac{3}{4}x = 12?
  2. What is the process of isolating a variable in an equation like 13=6k13 = 6k?
  3. How can you check if your solution to an equation is correct?
  4. What strategies can be used to solve equations involving negative numbers, such as 11=6+k11 = -6 + k?
  5. How does distributing affect solving equations like 20=4n20 = 4n?

Tip: Always check your solutions by substituting the values back into the original equations.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Basic Arithmetic

Formulas

Solving for x: x = (Constant/Variable)
Isolating a variable: Variable = Constant - Value
Distributive Property

Theorems

Basic rules of solving linear equations

Suitable Grade Level

Grades 6-8