Question

Use the Cross Products Property to solve x/35=2/7

Answer 1

x/35 = 2/7

x = 2/7 ×35

x = 2×5

x = 10

Answer 2

x = 10

Explanation:

Equation Solving

A common strategy to solve equations given in a rational form is to eliminate denominators.

If the equation is given in the form:

`\displaystyle (x)/(a)=(b)/(c)`

We use the cross-product property to make it linear:

cx = ab

And solve it easily by dividing by c.

We are given the equation:

`\displaystyle (x)/(35)=(2)/(7)`

Cross-multiplying the denominators:

7x = 2*35

Solving:

x = 70/7=10

x = 10