Given :
The ordered pair (10, 4) is solution to the equation 3x - 5y = 10.
To Find :
Which one is the solution and which is not.
Solution :
Two pairs are (10,4) and (4,10) :
Putting ( 10,4 ) in given equation, we get :
LHS = 3( 10 ) - 5( 4 ) = 30 - 20 = 10 = RHS
So, ( 10,4 ) is the solution of the equation.
Now, putting, ( 4, 10 ) in given equation, we get :
LHS = 3( 4 ) - 5( 10 ) = 12 - 50 = -38 ≠ RHS
Therefore, (10,4) is the solution and (4,10 ) is not the solution.
Hence, this is the required solution.