Question

Considering the following option 2/7 = 12/X Use Cross products to write the Equation:2x = 84 What Is The Value of x?

Answer 1

multiply all that

Explanation:

Answer 2

42

Explanation:

For the proportion ...

`(2)/(7)=(12)/(x)`

Form the "cross products" by multiplying both sides of the equation by 7x (the product of the denominators. This gives you ...

`7x\cdot(2)/(7)=7x\cdot(12)/(x)\\\\2\cdot x=7\cdot 12\qquad\text{each numerator $*$ the opposite denominator}\\\\2x=84`

After you have formed the "cross products", divide by the coefficient of x:

x = 84/2 = 42

The value of x is 42.