Asked by Felix Gurshteyn on Mar 10, 2024

Verified

Determine whether the equations $x+8=13$ and $2x+24=26$ are equivalent.

A) not equivalent

B) equivalent

A) not equivalent

B) equivalent

Equivalent

A term used to describe two expressions or quantities that have the same value or mathematical property.

Equations

Mathematical statements asserting the equality of two expressions, composed of variables and constants.

- Comprehend the methods to locate and authenticate solutions for linear equations.
- Comprehend the methods for adjusting equations to solve for unknown variables.

Verified Answer

BP

Brandon Powers

Mar 10, 2024

Final Answer :

A

Explanation :

The equations are not equivalent because when simplified, the first equation becomes $x=5$ (subtracting 8 from both sides), and the second equation simplifies to $x=1$ (subtracting 24 from both sides and then dividing by 2), leading to different values for $x$ .

## Learning Objectives

- Comprehend the methods to locate and authenticate solutions for linear equations.
- Comprehend the methods for adjusting equations to solve for unknown variables.