Question

if x=1 and y=2 is a solution of the equation 3x+5y-k=0,then the value of k is?

Answer 1

Answer:

k = 13

Explanation:

Given equation,

→ 3x + 5y - k = 0

Whose solution is (1, 2).

Then,

• x = 1
• y = 2

Substituting the values :-

→ 3x + 5y - k = 0

→ 3(1) + 5(2) - k = 0

→ 3 + 10 - k = 0

→ 13 - k = 0

→ 13 = k

∴ k = 13

The value of ‘k’ is 13.

_____________________

Quick check:

If k is 13

Then the equation goes like this :-

→ 3x + 5y - 13 = 0

By the solution (1, 2)

→ 3(1) + 5(2) - 13 = 0

→ 3 + 10 - 13 = 0

→ 13 - 13 = 0

→ 0 = 0

Hence, proved

Answer 2

EXPLANATION :-

GIVEN :

• x = 1 and y = 2 is a solution of the equation 3x + 5y - k = 0.

TO FIND:

• The value of k.

SOLUTION:

⟹ 3x + 5y - k = 0

⟹ 3(1) + 5(2) - k = 0

⟹ 3 + 10 - k = 0

⟹ 13 - k = 0

⟹ k = 13

∴ The value of k is 13.