Math Problem Statement

6t+22=150 solve for t

Solution

To solve for tt in the equation:

6t+22=1506t + 22 = 150

  1. Subtract 22 from both sides of the equation: 6t=150226t = 150 - 22 6t=1286t = 128

  2. Now, divide both sides by 6 to solve for tt: t=1286t = \frac{128}{6}

  3. Simplify the fraction: t=643t = \frac{64}{3}

So, the solution is: t=643ort21.33t = \frac{64}{3} \quad \text{or} \quad t \approx 21.33

Would you like more details on the steps, or do you have any questions?

Here are 5 related questions to explore:

  1. How would you solve 7t+15=1007t + 15 = 100?
  2. What is the solution to 5t10=405t - 10 = 40?
  3. If you had 2t+12=502t + 12 = 50, what would tt be?
  4. Can you solve 3t+9=273t + 9 = 27?
  5. What happens if you subtract 8 from both sides in 8t+5=698t + 5 = 69?

Tip: Always simplify equations step by step to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

ax + b = c

Theorems

Basic properties of equality

Suitable Grade Level

Grades 6-8