Question

The value of k, if x = 1, y = 2 is a solution of the equation 2x + 7y = k. a) 15 b) 6 c) 7 d) 8​

Answer 1

Answer:

b) 16

Step-by-step explanation:

2x + 7y = k

Now, put x = 1, y = 2

2(1) + 7(2) = k

2 + 14 = k

16 = k

⇒ k = 16

        Hope it is helpful. Take care.

Answer 2

Linear equations

While solving these types of questions, always keep in mind the concepts listed below:

- The concept of linear equations and solving of linear equations using numerical method.

- The concept of linear equations in two variable.

We know the linear equations in two variable is in the form of $ax + by = 0$. Which have only two variable that is called Linear equations in two variable. Our question is also related to this topic.

Here, we've been stated that a equation $2x + 7y = k$ with the value of $x = 1$ & the value of $y = 2$. And we are supposed to find out the value of $k$.

Substituting the value of $x = 1$ & the value of $y = 2$ in the given equation, we get:

$\implies 2(1) + 7(2) = k \\ \\ \implies 2 + 14 = k \\ \\\implies \boxed{16 = k}$

Therefore, the value of k is found 16.