Math Problem Statement

6y-5=7

Solution

To solve the equation 6y5=76y - 5 = 7, follow these steps:

  1. Add 5 to both sides of the equation: 6y5+5=7+56y - 5 + 5 = 7 + 5 Simplifying: 6y=126y = 12

  2. Divide both sides by 6: 6y6=126\frac{6y}{6} = \frac{12}{6} Simplifying: y=2y = 2

Thus, the solution is y=2y = 2.

Would you like further explanation, or do you have any questions?

Here are some related questions to expand on this:

  1. What if the equation was 6y5=76y - 5 = -7?
  2. How would the solution change if the equation was 6y+5=76y + 5 = 7?
  3. Can you solve 12y4=2012y - 4 = 20 following a similar approach?
  4. How would you check if y=2y = 2 is correct?
  5. What is the solution to 6y5=06y - 5 = 0?

Tip: Always remember to perform the same operation on both sides of the equation to maintain equality.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Linear equation form: ax + b = c

Theorems

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Suitable Grade Level

Grades 6-8