Question

(b+13)/2 = -5b/3Use scale factor I got -3 using cross multiplying but I have no idea how to use scale factor for this, and my homework requires 2 methods.

Answer 1

`(b+13)/(2)=(-5b)/(3)`

we need to multiply both sides by a number let us cancel the denominators

So 3 * 2 = 6

Multiply both sides by the factor 6

`6*((b+13))/(2)=6*(-5b)/(3)`

6/2 = 3 and 6/3 = 2, then

3(b + 13) = 2(-5b)

Let us simplify each side

3(b) + 3(13) = -10b

3b + 39 = -10b

let us collect b on the left side and the number on the other side

3b + 10b = -39

13b = -39

Divide both sides by 13 to find b

b = -3