Question

Use cross products to identify the equation needed to solve this proportion:

5/2x - 18/5x?

A) 2x=14
B)9x=10
C)2x=45
D) 5x=18

Answer 1

To solve the proportion, we set the two given ratios equal to each other and cross multiply. The equation needed to solve the proportion is D) 5x = 18.

Step-by-step explanation:

To solve this proportion using cross products, we set the two ratios equal to each other:

5/2x = 18/5x

Next, we cross multiply:

5 * 5x = 2x * 18

25x = 36x

Now, we can solve for x by subtracting 25x from both sides:

25x - 25x = 36x - 25x

0 = 11x

Dividing both sides by 11 gives us:

x = 0

Therefore, the equation needed to solve the proportion is D) 5x = 18.