Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The point (1, k) lies on the line with equation 5x + 4y = 20 if and only if .
A) False. If we substitute 1 instead of x and k instead of y and solve the equation for k, we won't find that k is equal to .
B) True. If we substitute 1 instead of x and k instead of y and solve the equation for k, we will find that k is equal to .

Question

Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The point (1, k) lies on the line with equation 5x + 4y = 20 if and only if  . 
A) False. If we substitute 1 instead of x and k instead of y and solve the equation for k, we won't find that k is equal to . 
B) True. If we substitute 1 instead of x and k instead of y and solve the equation for k, we will find that k is equal to .

Quizplus · Accepted Answer

Substituting 1 for x and k for y in the equation 5x+4y=20 results in 5(1)+4k=20, which simplifies to 4k=15 and k=15/4. Therefore, the statement is true and the point (1,15/4) lies on the line with equation 5x+4y=20. The number given in option A is not relevant to the problem.

Determine Whether the Statement Is True or False