Math Problem Statement

Solve the equation: 1/4 = 3x

Solution

From the image you provided, the equation looks like:

14=3x\frac{1}{4} = 3x

To solve for xx, we need to isolate it. Here's how we do it step-by-step:

  1. Start with the equation: 14=3x\frac{1}{4} = 3x

  2. Divide both sides by 3 to isolate xx: x=14×3x = \frac{1}{4 \times 3}

  3. Simplify the expression on the right: x=112x = \frac{1}{12}

Thus, the value of xx is 112\frac{1}{12}.

Would you like more details or have any further questions on this?

Here are 5 related questions to practice with:

  1. Solve 5x=235x = \frac{2}{3}.
  2. If 72=4x\frac{7}{2} = 4x, what is xx?
  3. Solve 8x=358x = \frac{3}{5}.
  4. Find xx if 16=2x\frac{1}{6} = 2x.
  5. Solve 9x=549x = \frac{5}{4}.

Tip: To solve equations of the form ax=bax = b, always divide both sides by aa to isolate xx.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

x = b/a

Theorems

Properties of Equality

Suitable Grade Level

Grades 6-8