Math Problem Statement

Beginning with the equation x = 10 , write the new equation produced by adding 9 to both sides.

Solution

Starting with the equation x=10x = 10, if we add 9 to both sides, the equation becomes:

x+9=10+9x + 9 = 10 + 9

Simplifying the right-hand side:

x+9=19x + 9 = 19

This is the new equation.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

  1. What happens if you subtract 5 from both sides of x+9=19x + 9 = 19?
  2. Can you solve for xx in x+9=19x + 9 = 19?
  3. What would happen if you multiplied both sides of x=10x = 10 by 3 instead of adding 9?
  4. How would you solve 2x=102x = 10?
  5. What is the result of dividing both sides of x+9=19x + 9 = 19 by 2?

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

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Addition property of equality: If a = b, then a + c = b + c

Theorems

Addition Property of Equality

Suitable Grade Level

Grades 6-8