Question

How do you solve the proportion `(x - 1)/5 = (4x + 2)/35`?

Answer 1

If `a/b = c/d`, then `a*d = b*c`

`(x-1)*35 = (4x+2)*5`

Using the Distributive Property of Multiplication, we get

`35x - 35 = 20x + 10`

`35x - 20x = 10 + 35`

`15x = 45`

`x = 45/15`

`color(green)(x = 3`