Question

Find the value of k, if x = 2k-1, y = k is a solution of 3x -5y=7

Answer 1

y=k=10

Explanation:

3x-5y=7

3(2k-1)-5y=7

6k-3-5y=7

6y-5y-3=7

y-3=7

y=7+3

y=10

k=y=10

Answer 2

k = 10

Explanation:

given that x = 2k - 1 and y = k are solutions of the equation, then they make the equation true.

substitute the values into the equation and solve for k

3(2k - 1) - 5k = 7

6k - 3 - 5k = 7

k - 3 = 7 ( add 3 to both sides )

k = 10