Final answer:
None of the provided equations match the unique answer of -7y/4 when solving the equation 4x = -7y for x.
Step-by-step explanation:
The student is asked to solve for x given the equation 4x = -7y. To do this, you would divide both sides of the equation by 4 to isolate x. Here's the step-by-step solution:
- Start with the given equation: 4x = -7y.
- Divide both sides by 4 to get x by itself: x = (-7y)/4.
Now, let's match the equation on the left with the unique answer on the right from the list provided:
- 8x - 2(4x +7) = 14 is not equal to -7y/4.
- 8x - 2(4x +7) = -14 simplifies to 8x - 8x - 14 = -14, which simplifies further to 0x = 0. This is not equal to -7y/4.
- 8x + 2(4x +7) = 14 simplifies to 8x + 8x + 14 = 14, which simplifies further to 16x = 0. This is not equal to -7y/4.
None of the provided equations match the unique answer of -7y/4 for x.
To solve the equation 4x = -7y for x, we need to isolate x on one side of the equation. We can start by dividing both sides of the equation by 4 to get x = (-7/4)y. This is the solution to the equation.