Step 1: Identify the question
We have the following equation given:
[tex]3x-5y=2[/tex]And for this case we have the following values for x and y given:
x=4, y=-1
We want to check if the point given (4,-1) is a solution for the equation 3x-5y=2
Step 2: Solve the problem
We just need to replace in the equation given x=4 and y=-1:
[tex]3\cdot4-(5\cdot-1)=12+5=17[/tex]Step 3: Solution to the problem
And we can conclude that the point (4,-1) is not on the line 3x-5y=2
Step 4: Solution
For this case we can see that the point is not a solution of the equation because the solution is not equal to 2
