Question

Identifying operations used to create equivalent systems of equations. Transform system B into system C.

A. B1 =C1
B. B2 =C2
C. B1 +B2 =C2
D. None of the above

Answer 1

The operations used to create equivalent systems of equations are adding or subtracting the same value to both sides, multiplying both sides by the same non-zero value, and rearranging the order of equations.

Step-by-step explanation:

The operations used to create equivalent systems of equations are:

1. Adding or subtracting the same value to both sides of an equation.
2. Multiplying both sides of an equation by the same non-zero value.
3. Swapping the positions of equations or rearranging the order of equations.

In this case, to transform system B into system C, you would need to perform one or more of these operations.

Example:
B1 = C1 (Given)
Subtract B1 from both sides of the equation to get 0 = C1 - B1
This creates an equivalent equation that transforms system B into system C.