Question

Solve the equation and verify your answer:

(1 – 9y) / (19 – 3y) = 5/8

Answer 1

We have,

(1 – 9y) / (19 – 3y) = 5/8

Let us perform cross-multiplication we get,

8(1- 9y) = 5(19-3y)

8 – 72y = 95 – 15y

8 – 95 = 72y – 15y

57y = -87

y = -87/57

= -29/19

Now let us verify the given equation,

(1 – 9y) / (19 – 3y) = 5/8

By substituting the value of ‘y’ we get,

(1 – 9(-29/19)) / (19 – 3(-29/19)) = 5/8

(19+261)/19 / (361+87)/19 = 5/8

280/19 × 19/448 = 5/8

280/ 448 = 5/8

5/8 = 5/8

Hence, the given equation is verified.