Question

A student simplifies the equation 16g=5g−22 to 11g=−22. Which was the student's first step in solving the equation for g?

A) Adding 5g to each side of the equation
B) Subtracting 5g from each side of the equation
C) Adding 22 to each side of the equation
D) Dividing both sides of the equation by 5

Answer 1

The first step the student took in solving the equation was subtracting 5g from both sides, leading to the simplified form of 11g=-22.

Step-by-step explanation:

The student's first step in solving the equation 16g=5g−22 for g was subtracting 5g from each side of the equation. When solving a system of equations, subtracting one equation from another is a common technique, especially when using the elimination method. This is evident from the simplified form 11g=−22, indicating that 5g was removed from the original 5g on the right side of the equation, leaving no g terms on the right side and 11g on the left side.