Question

For what value k the point (k, 5) lies on the line 4x-5y=10

Answer 1

X = k and y = 5
Hence, 4*k -5*5 = 10
4k - 25 = 10
4k = 10+25
4k = 35
k = 35/4
k = 8.75

Answer 2

The value of k is 35/4.

Given:

The equation of a line is 4x-5y = 10.

The point (k, 5) lies on the given line.

To Find:

The value of k.

Solution:

We have been given an equation of a line 4x-5y = 10.

The point (k, 5) lies on the line 4x-5y = 10. This means that on substituting (x, y) as (k, 5) the equation stands valid.

Hence putting x = k and y = 5, we get:

4(k) - 5(5) = 10

⇒ 4k = 10 + 25

⇒ 4k = 35

⇒ k = 35/4.

Hence, the value of k = 35/4.

∴ The value of k is 35/4.

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