2.) the difference of two numbers is 3 their sum is 13 find the numbers
4.)the school that stefan goes to selling tickets to a choral performance on the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38 the school took in $52 on the second day by selling 3 senior citizen tickets and 2 child ticket find the price of senior citizen ticket and the price of a child ticket

2) 8 , 5

4) kids ticket: $14

senior ticket: $8

Step-by-step explanation:

2) 8 - 5 = 3

8 + 5 = 13

4) the difference between day 1 and day 2 is one children's ticket.

52 - 38 = 14

14 is the price of the children's ticket

38 - 14 = 24 / 3 = 8

8 is the price of the senior's ticket

the expected value of the random variable : 0, 1 and 2

step-by-step explanation:

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3