Answer:
D. (2/3,1/5)
Step-by-step explanation:
To know which one belongs to the graph of 3x-5y = 1, we will evaluate the function with the options given
3x - 5y = 1
A. x = -2/3 y = -1/5
3(-2/3) - 5(-1/5) = 1
-2 - (-1) = 1
-2 + 1 = 1 wrong
B. x = -2/3 y = 1/5
3(-2/3) - 5(1/5) = 1
-2 - 1 = 1
-2 - 1 = 1 wrong
C. x = 2/3 y = -1/5
3(2/3) - 5(-1/5) = 1
2 - (-1) = 1
2 + 1 = 1 wrong
D. x = 2/3 y = 1/5
3(2/3) - 5(1/5) = 1
2 - 1 = 1
2 - 1 = 1 CORRECT
if we achieve equality it means that the point belongs to the graph
Answer:
Step-by-step explanation:
We want to determine the solution to the equation, 3x-5y=1
We will check by substituting values of x and y into the left hand side of the equation and the values that satisfy the equation would be the solution.
1) substituting x = - 2/3 and y = -1/5 into the equation, it becomes
3 × -2/3 -5 × 1/5 = - 3
(-2/3, - 1/5) doesn't belong to the graph.
2)substituting x = - 2/3 and y = 1/5 into the equation, it becomes
3 × -2/3 -5 × -1/5 = - 3
(-2/3, 1/5) doesn't belong to the graph.
3) substituting x = 2/3 and y = - 1/5 into the equation, it becomes
3 × 2/3 -5 × -1/5 = 3
(2/3, -1/5) doesn't belong to the graph.
4) substituting x = 2/3 and y = 1/5 into the equation, it becomes
3 × -2/3 -5 × -1/5 = 1
(2/3, 1/5) belongs to the graph
