Asked by Felix Gurshteyn on Mar 10, 2024
Verified
Determine whether the equations x+8=13x + 8 = 13x+8=13 and 2x+24=262 x + 24 = 262x+24=26 are 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 PowersMar 10, 2024
Final Answer :
A
Explanation :
The equations are not equivalent because when simplified, the first equation becomes x=5x = 5x=5 (subtracting 8 from both sides), and the second equation simplifies to x=1x = 1x=1 (subtracting 24 from both sides and then dividing by 2), leading to different values for xxx .
Learning Objectives
- Comprehend the methods to locate and authenticate solutions for linear equations.
- Comprehend the methods for adjusting equations to solve for unknown variables.