If (6,k) is a solution of the equation 3x + y - 22 = 0, then, what is the value of k?
The above equation is a linear equation in two variables whose x value is given as 6 and y value is given as 'k'.
Answer: If (6,k) is a solution of the equation 3x + y - 22 = 0, then the value of k is 4.
Let us proceed step by step.
According to the given equation : 3x + y = 22
Since (6,k) is a solution,
This implies on substituting x as '6' and y as 'k', the given equation reduces to zero
Therefore, 3(6) + k = 22
⇒ 18 + k = 22
⇒ k = 22 - 18
⇒ k = 4