Ms. Smith asked her students to determine a solution for 3x - 4y = 8. Which of the following students found the correct solution?
Student #1: Linda believes (1, -4) is a solution to the equation.
Student #2: Nathan believes (5, 3) is a solution to the equation.
Student #3: Gary believes (4, 1) is a solution to the equation.
Student # ____ is correct.
To determine who found the correct solution, we need to substitute the values into the equation and see if they satisfy it.
For Student #1:
When x = 1 and y = -4, 3(1) - 4(-4) = 3 + 16 = 19, which does not equal 8. Therefore, Student #1 is incorrect.
For Student #2:
When x = 5 and y = 3, 3(5) - 4(3) = 15 - 12 = 3, which does not equal 8. Therefore, Student #2 is incorrect.
For Student #3:
When x = 4 and y = 1, 3(4) - 4(1) = 12 - 4 = 8, which equals 8. Therefore, Student #3 is correct.
Therefore, Student #3 is the one who found the correct solution.