1. Which point lies in the solution set for the following system of inequalities?
2x + y < 4
x − y > 3
A. (2, −3)
B. (3, 4)
C. (5, −2)
D. (0, 0)
2. Auditions for a new, upcoming band in Chicago were held with 90 men and women trying out for the lead singer position. If twice the number of men less three times the number of women is equal to 30, how many women auditioned?
A. 50
B. 40
C. 60
D. 30
2x + y < 4
x − y > 3
A. (2, −3)
B. (3, 4)
C. (5, −2)
D. (0, 0)
2. Auditions for a new, upcoming band in Chicago were held with 90 men and women trying out for the lead singer position. If twice the number of men less three times the number of women is equal to 30, how many women auditioned?
A. 50
B. 40
C. 60
D. 30
-
1. A
2. Let M be the number of men and W the number of women.
2M - 3W = 30
M + W = 90
Multiply the second equation by 3: 3M + 3W = 270, and add the first equation:
5M = 300
M = 60
Since W = 90 - 60, 30 women auditioned.
Answer is "D".
2. Let M be the number of men and W the number of women.
2M - 3W = 30
M + W = 90
Multiply the second equation by 3: 3M + 3W = 270, and add the first equation:
5M = 300
M = 60
Since W = 90 - 60, 30 women auditioned.
Answer is "D".
-
1) is A
subsitute 2 for x and -3 for y
subsitute 2 for x and -3 for y