To determine which student found the correct solution, we can substitute the values of the possible solutions into the equation and see which one satisfies the equation.
For option #1: (1,-4)
Substituting the values into the equation: 3(1) - 4(-4) = 3 + 16 = 19, which is not equal to 8. Therefore, this is not the correct solution.
For option #2: (5,3)
Substituting the values into the equation: 3(5) - 4(3) = 15 - 12 = 3, which is not equal to 8. Therefore, this is not the correct solution.
For option #3: (4,1)
Substituting the values into the equation: 3(4) - 4(1) = 12 - 4 = 8, which is equal to 8. Therefore, this is the correct solution.
Hence, student #3 (Gary) found the correct solution.
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 answer