Answer:
The correct equations are 2x +3y=100 and x+y=48. These equations can be used to find the number of multiple-choice and free response questions on the test. The first equation, 2x +3y=100, shows that the total number of points for the multiple-choice questions (2x) plus the total number of points for the free response questions (3y) equals 100. The second equation, x+y=48, shows that the total number of multiple-choice and free response questions on the test is equal to 48. These equations can be solved simultaneously to find the values of x and y.