Final answer:
c. (4,0). To determine the linear equations, we substitute values into the given equation and check if it holds true. The solutions that make the equation true are the linear equations. The linear equations could be c. (4,0) and d. (0,6).
Step-by-step explanation:
To determine which of the given options could be the linear equations, we need to substitute the values of x and y into the equation 3x + 2y = 12 and check if the equation holds true.
a. (2,4): 3(2) + 2(4) = 6 + 8 = 14, which is not equal to 12. So, (2,4) is not a solution to the equation.
b. (3,2): 3(3) + 2(2) = 9 + 4 = 13, which is not equal to 12. So, (3,2) is not a solution to the equation.
c. (4,0): 3(4) + 2(0) = 12 + 0 = 12, which is equal to 12. So, (4,0) is a solution to the equation.
d. (0,6): 3(0) + 2(6) = 0 + 12 = 12, which is equal to 12. So, (0,6) is a solution to the equation.
Therefore, the linear equations could be c. (4,0) and d. (0,6).