6x — 8y = 50
4х +6y = 22

x = 7, y = - 1

Step-by-step explanation:

Given the 2 equations

6x - 8y = 50 → (1)

4x + 6y = 22 → (2)

Multiplying (1) by 6 and (2) by 8 and adding will eliminate the y- term

36x - 48y = 300 → (3)

32x + 48y = 176 → (4)

Add (3) and (4) term by term to eliminate y

68x = 476 ( divide both sides by 68 )

x = 7

Substitute x = 7 into either of the 2 equations and evaluate for y

Substituting into (2)

4(7) + 6y = 22

28 + 6y = 22 ( subtract 28 from both sides )

6y = - 6 ( divide both sides by 6 )

y = - 1

Solution is x = 7, y = - 1

b

step-by-step explanation:

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.