Question

Solve the equation .


$\frac{1 - 9y}{19 - 3y} = \frac{5}{8}$
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Answer 1

Step-by-step explanation:

8-72y = 95-15y

8-95 =( -15+ 72)y

57y = -87

y = -87/57

Answer 2

$\fcolorbox{green}{lightblue}{solution}$

We have ,

$\frac{1 - 9y}{19 - 3y} = \frac{5}{8}$

Cross multiplying , we have :

8× (1-9y) = 5 × (19-3y)

8 - 72y = 95-15y

-72 + 15y = 95-8 (Transposing -15y and 8)

-57y = 87

$\frac{ - 57y}{ - 57} = \frac{87}{ - 57}$

(Dividing both sides by -57)

$y = \frac{87}{ - 57}$

$\huge \bold \blue{y = \frac{ - 29}{19}}$

Thus , y= -29/19 is the solution of the given equation .