Question

Q-15 If x = 2, y = 1 is a solution of the equation 2x + 3y = k, find the value of k.​

Answer 1

Answer:

2x+3y=k

2×2+3×1=k

4+3=k

k=7

Answer 2

Question:

If x= 2, y= 1 is a solution of the equation 2x+3y= k, find the value of $\bold{k}$.

Given:

• Equation= $\sf{2x+3y=k}$
• Solution of the Equation,

•$\bold{x=2}$

•$\bold{y=1}$

To Find:

• Value of $\bold{k}$

Concept:

Here, we are given the equation and values of x and y which is solution of the given equation. By equating the values of x and y in the equation (given) we can find the value of k.

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Solution:

Lets equate values of x and y in equation.

Given Equation;;

$\rightharpoonup\mathsf{2x+3y=k}$

Solution of Equation;;

$\rightharpoonup\mathsf{x=2}$

$\rightharpoonup\mathsf{y=1}$

As we know the values of x and y. So, substituting the values of x and y in equation. We get,

$\rightarrow\mathsf{2x+3y=k}$

$\rightarrow\mathsf{2(2)+3(1)=k}$

$\rightarrow\mathsf{4+3=k}$

$\rightarrow\mathsf{7=k}$

Required Answer:

$\leadsto$ The Value of k is 7.