Question

Does ( x/4 = 15/3 ) have the same solution? Use the cross product property to explain your answer.

a) Yes, x = 5
b) Yes, x = 12
c) No, x = 20
d) No, x = 3

Answer 1

Using the cross product property to solve the equation x/4 = 15/3, we find that the solution is c) No, x = 20. This method involves cross multiplying the terms and solving for x, leading to a definitive answer.

Step-by-step explanation:

To answer the question whether the equation x/4 = 15/3 has the same solution and to find the value of x using the cross product property, we start by cross multiplying the terms of the proportion. Multiplying the numerator of one fraction by the denominator of the other and vice versa, we get:

x × 3 = 4 × 15

Which simplifies to:

3x = 60

Next, we solve for x by dividing both sides of the equation by 3:

x = 60 / 3

x = 20

Therefore, the correct solution is c) No, x = 20. The cross product property has allowed us to determine that the values for x that would make this equation true is 20, not 5, 12, or 3 as suggested in the other options.