One number added to twice another number is 30. The sum of the numbers is 19. Write and solve a system of equations to represent this situation.
What is the value of the smaller number?
What is the value of the larger number?

I don't understand :(

The smaller number is 8

The bigger number is 11

Step-by-step explanation:

let the first number be A

let the second number be B

A + 2B = 30 equation 1

A + B = 19 equation 2

Subtract equation 2 from 1.

A + 2B = 30

- A + B = 19

0 + B = 11

B = 11

Substitute B = 11 into equation 2

A + B = 19

A + 11 = 19

collect like terms

A = 19-11

A = 8.

A= 8 and B = 11

step-by-step explanation:

because it just is

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.