If x = 3, y = – 2 satisfies 2x – 3y = k, then find the value of k.
Given equation, 2x – 3y = k
For the point, (3, – 2), x = 3 and y = – 2
Put the values of x and y in 2x – 3y = k
⇒ 2×3 – 3×( – 2) = k
⇒ 6 –( – 6) = k
⇒ 6 + 6 = k
⇒ k = 12