Question

Which of the following is equivalent to 4x - 7y = 21?

A) 7y - 4x = -21
B) 4x + 7y = 21
C) 4x - 7y = -21
D) 7y + 4x = 21

Answer 1

The equation 4x - 7y = 21 is equivalent to 7y - 4x = -21.

Step-by-step explanation:

The equation 4x - 7y = 21 is equivalent to option A) 7y - 4x = -21.

To show this, we can rearrange the equation 4x - 7y = 21 by adding 7y to both sides:

4x - 7y + 7y = 21 + 7y

Simplifying, we get:

4x = 7y + 21

And then rearranging by subtracting 7y from both sides:

4x - 7y = 21

Therefore, option A) 7y - 4x = -21 is the equivalent equation.