Question

Which equation is equivalent to the one shown (X-4)/5=y/x

A. X^2 = 5y
B. X^2 - 4x = 5y
C. -3x^2 = 5y
D. -3x = 5y

Answer 1

To find an equation equivalent to (X-4)/5 = y/x, we multiply both sides by 5x and simplify it to X^2 - 4X = 5y. The correct answer is B. X^2 - 4x = 5y.

Step-by-step explanation:

To find out which equation is equivalent to (X-4)/5 = y/x, we need to manipulate the given equation to find a match among the choices provided.

• Multiply both sides by 5x to remove the fractions: 5x*((X-4)/5) = 5x*(y/x)
• Simplify the equation: x*(X-4) = 5y
• Expand the left side of the equation: X^2 - 4X = 5y

So the equivalent equation is:

X^2 - 4X = 5y

Therefore, the correct answer is B. X^2 - 4x = 5y.