Given the figure below, find the values of x and z.
(8x – 20)
(14x – 20)

Problem #1:  x = 2.5

Problem #2:  x = 10/7

Step-by-step explanation:

Step 1:  Find the value of x in (8x - 20)

8x - 20 = 0

Add 20 to both sides

8x - 20 + 20 = 0 + 20

8x = 20

Divide both sides by 8

8x / 8 = 20 / 8

x = 2.5

 x = 2.5

Step 2:  Find the value of x in (14x - 20)

14x - 20 = 0

Add 20 to both sides

14x - 20 + 20 = 0 + 20

14x = 20

Divide both sides by 14

14x / 14 = 20 / 14

x = 10/7

 x = 10/7

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.

the answer is 25 because they're both the same