Question

Find the value of a so that the point (3,a) lies on the line represented by 2x-3y=5

Answer 1

a =
`(1)/(3)`

Explanation:

For the point (3, a) to lie on the graph then the coordinate points must make the equation true.

Substitute x = 3 and y = a into the equation and solve for a

(2 × 3) - 3a = 5

6 - 3a = 5 ( subtract 6 from both sides )

- 3a = - 1 ( divide both sides by - 3 )

a =
`(-1)/(-3)` =
`(1)/(3)`

Answer 2

the value of "a" is 1/3

Explanation:

We are given the equation of the line is, 2x - 3y = 5

It is required to find the value of 'a' such that the point (3,a) lies on the line.

So, for the point to lie on the line, the point must satisfy the equation.

So, we will substituting the values, x= 3 and y= a,

2x - 3y = 5

This Implies 2 × 3 - 3 × a = 5

i.e. 6 - 3a = 5

i.e. 3a = 6 - 5

i.e. 3a = 1

i.e. a = 1/3

so now we know the value of a is 1/3