To determine if a point is a solution to the equation, we need to substitute the values into the equation and check if it holds true.
For Student #1:
Substituting x = 1 and y = -4 into the equation:
3(1) - 4(-4) = 3 + 16 = 19
So, (1, -4) is not a solution to the equation.
For Student #2:
Substituting x = 5 and y = 3 into the equation:
3(5) - 4(3) = 15 - 12 = 3
So, (5, 3) is not a solution to the equation.
For Student #3:
Substituting x = 4 and y = 1 into the equation:
3(4) - 4(1) = 12 - 4 = 8
So, (4, 1) is a solution to the equation.
Therefore, the correct solution was found by Student #3.
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.
(1 point)
Student #____
is correct.
1 answer
1 answer