Michael's High School is selling tickets to its spring musical. On the first day of ticket sales the school sold 1 adult ticket and 3 student tickets for a total of $38. The second day of sales, the school sold 5 adult tickets and 1 student ticket for a total of $78 Write a system of equations to represent the number of tickets sold each day

Determine the price of an adult ticket and a student ticket

adult ticket price: $14

student ticket price: $8

Step-by-step explanation:

x = adult ticket

y = student ticket

system equations:

elimination method:

substitute:

find the y using substitution method:

x+3y=38

14+3y=38

3y=24

y=24/3

y=8

so the price of an adult ticket is $14 and the price of student ticket is $3

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.