There are a total of 64 students in a drama club and a yearbook club. the drama club has 10 more students than the yearbook club

write a system of linear equations that represents the situation. let x represent the number of students in the drama club and y represent the number of students in the yearbook club.

system of equations: x=

+ y=64

The system of equations are and

Step-by-step explanation:

Given : There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club.

To find : Write a system of linear equations that represents the situation.

Solution :

Let x represent the number of students in the drama club

and y represent the number of students in the yearbook club.

There are a total of 64 students in a drama club and a yearbook club.

i.e. ....(1)

The drama club has 10 more students than the yearbook club.

i.e. ....(2)

Substitute the value of (2) in (1),

Substitute in (2),

Therefore, the system of equations are and

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

about 168 miles

step-by-step explanation: