Question

Find 'a" so that (3,a) lies on the line represented by 2x-3y-5=0. Also , find the coordinates of the point where line cuts the x-axis.

Answer 1

Hi ,

i ) It is given that ,

( 3 , a ) lies on the line 2x - 3y - 5 = 0

Substitute x = 3 , y = a in the equation

We get ,

2 × 3 - 3a - 5 = 0

6 - 3a - 5 = 0

1 - 3a = 0

1 = 3a

1/3 = a

a = 1/3

ii ) If the line cuts the x - axis ,

to find the coordinates , put y = 0

in the equation , we get

2x - 3 × 0 - 5 = 0

2x - 5 = 0

2x = 5

x = 5/2

Therefore ,

Required point = ( 5/2 , 0 )

I hope this helps you.

: )

Answer 2

now see this photo for your answer ⬆️⬆️


I hope this will help you :-)