Question

Find the value k if (3, 2) is a solution of the equation 2x + y= 2k

Answer 1

Answer:

k = 4

Step-by-step explanation:

according to question

2x + y = 2k

2(3) + 2 = 2k

6 + 2 = 2k

8 = 2k

k = 8/2

k = 4

Answer 2

GIVEN :-

• An equation = 2x + y = 2k.

TO FIND :-

• Value of k.

SOLUTION :-

As we know that, Co - Ordinates always written in the form of (x,y).

So if we write the given Co - Ordinate in the form of (x,y) so x replaces 3 and y replaces 2 . Therefore x = 3 , y = 2.

$\\ \underline{ \bigstar \: \textsf{According to the Question}}$

$: \implies \displaystyle \sf \: 2x + y = 2k$

$: \implies \displaystyle \sf \: 2 \times 3 + 2 = 2k$

$: \implies \displaystyle \sf \: 6 + 2 = 2k$

$: \implies \displaystyle \sf \: \dfrac{8}{2} = k$

$: \implies \underline{ \boxed{ \displaystyle \sf \: k = 4}}$

$\therefore\underline{ \: \textsf{required \: value \: of \: k \: is \: 4.}}$

________________

An equation of the form ax + by + c = 0 , where a, b and c are real numbers , such that a and b are not both 0. is called a linear equation in two variables.