Question

What is the value of K if (K,5) is solution of the simultaneous equations 4x+3y=19 and 4x-3y=-11
?

Answer 1

Step-by-step explanation:

the above is the answer

Answer 2

The value of 'K' is 1

Step-by-step explanation:

4x + 3y = 19 → (equation 1)

4x - 3y = -11 → (equation 2)

On solving equation (1) and (2), we get,

8x = 8

∴ x = 1

On substituting value of 'x' in equation 1, we get,

4(1) + 3y = 19

⇒ 4 + 3y = 19 ⇒ 3y = 19 - 4 ⇒ 3y = 15 ⇒ y = 15/3

∴ y = 5

Now, on substituting the given point (K, 5) in equation (1), we get,

4(K) + 3(5) = 19

4K + 15 = 19

4K = 19 - 15

4K = 4

∴ K = 1