Ask a New Question
Menu

How many solutions does the equation have?

y + 12 = y + 10 + 2



Show your calculations or write/record an explanation to justify your answer.

1 answer

To solve the equation \( y + 12 = y + 10 + 2 \), we can simplify the equation step by step.

  1. Start with the original equation: \[ y + 12 = y + 10 + 2 \]

  2. Simplify the right side: \[ y + 10 + 2 = y + 12 \] So the equation becomes: \[ y + 12 = y + 12 \]

  3. Now, subtract \( y \) from both sides: \[ 12 = 12 \]

This statement is always true. Since both sides of the equation are equal and do not depend on \( y \), it indicates that the equation is true for any value of \( y \).

Thus, the equation has an infinite number of solutions.

In conclusion, the number of solutions to the equation \( y + 12 = y + 10 + 2 \) is infinite.