Question

Write a solution of the linear equation 5x+3y-8=0 in two variables

Answer 1

Answer:

X= 6/5; y=4/9

Step-by-step explanation:

5x + 3y - 8 = 0

5x + 3y = 0+8

5x = 8/3y

x = 8/3y * 1/5 = 8/15y (i)

So, we can take x as 8/15y

Now, Solve the equation

5* 8/15y + 3y = 8

8/3y + 3y = 8

8/3y = 8-3y

8 = (8-3y)3y

8 = 24-9y^2

9y^2 = 24-8

9y^2 = 16

9y = $\sqrt{16$

9y = 4

y = 4/9 (ii)

So we got y as 4/9

now we can find x: (from solution (i) and (ii))

X= 8/15y; y = 4/9

x= 8/(15*4/9)

x= 8/(20/3)

x = 8*3/20

x = 6/5

Thank you..

Hope it helps..