Question

Answer two questions about Equations A and B:

A. 2x - 1 = 5x
B. -1 = 3x

1) How can we get Equation B from Equation A?
Choose 1 answer:

(Choice A)
Add/subtract the same quantity to/from both sides

(Choice B)
Add/subtract a quantity to/from only one side

(Choice C)
Rewrite one side (or both) by combining like terms

(Choice D)
Rewrite one side (or both) using the distributive property

2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:

(Choice A)
Yes

(Choice B)
No

Answer 1

Option A

Explanation:

Two equations have been given as,

A. (2x - 1) = 5x

B. -1 = 3x

To find equation B from equation A:

Subtract same quantity (2x) from both the sides of the equation A

(2x - 1) - 2x = 5x - 2x

(2x - 2x) - 1 = 3x

-1 = 3x [Equation B]

Therefore, Option A will be the answer.

Since, we are getting the same value of x from both the equations, both the equations are equivalent.

Option A. YES