Question

if 15(2-k)=k+6 then 2k-3 will be equal to

Answer 1

Answer:

(2k - 3, k + 2) lies on 2x + 3y + 15 = 0

2(2k - 3) + 3(k + 2) + 15 = 0

4k - 6 + 3k + 6 + 15 = 0

7k + 15 = 0

Step-by-step explanation:

Answer 2

Answer:

2k - 3 will be equal to 0.

Step-by-step-explanation:

We have given that,

15 ( 2 - k ) = k + 6

We have to find the value 2k - 3.

Now,

15 ( 2 - k ) = k + 6

⇒ 30 - 15k = k + 6

⇒ 30 - 6 = k + 15k

⇒ 24 = 16k

$\displaystyle{\implies\sf\:k\:=\:\dfrac{\cancel{24}}{\cancel{16}}}$

$\displaystyle{\implies\sf\:k\:=\:\dfrac{3}{2}}$

Now, we have to find the value of

$\displaystyle{\sf\:2k\:-\:3}$

$\displaystyle{\implies\sf\:\cancel{2}\:\times\:\dfrac{3}{\cancel{2}}\:-\:3}$

$\displaystyle{\implies\sf\:3\:-\:3}$

$\displaystyle{\implies\sf\:0}$

$\displaystyle{\therefore\:\underline{\boxed{\red{\sf\:2k\:-\:3\:=\:0\:}}}}$

∴ 2k - 3 will be equal to 0.