Question

Answer two questions about Equations A and B:

A. 5=-2(x-1)
B.
5=-2x + 2
1) How can we get Equation B from Equation A?
Choose 1 answer:
Rewrite one side (or both) by combining like terms
Rewrite one side (or both) using the distributive property
Multiply/divide both sides by the same non-zero constant
Multiply/divide both sides by the same variable expression
2) Based on the previous answer, are the equations equivalent? In other
words, do they have the same solution?

Answer 1

Equation B can be obtained from Equation A by rewriting one side using the distributive property. The two equations are equivalent, meaning they have the same solution.

Step-by-step explanation:

To get Equation B from Equation A, we can rewrite one side (or both) using the distributive property. In Equation A, distribute -2 to both x and -1 to get -2x + 2. This gives us Equation B.

Equation A: 5 = -2(x - 1)
Equation B: 5 = -2x + 2

Equation A and Equation B are equivalent because they have the same solution. This means that the values of x that satisfy Equation A will also satisfy Equation B.

Learn more about Equations and distributive property