The top fully says solve the following system of equations. please help!! ​

x = - 4, y = - 1

Step-by-step explanation:

Given the 2 equations

3x + 7y = - 19 → (1)

7x - 4y = - 24 → (2)

Multiplying (1) by 4 and (2) by 7 , then adding will eliminate the y- term

12x + 28y = - 76 → (3)

49x - 28y = - 168 → (4)

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

61x + 0 = - 244

61x = - 244 ( divide both sides by 61 )

x = - 4

Substitute x = - 4 into either of the 2 equations and solve for y

Substituting into (1)

3(- 4) + 7y = - 19

- 12 + 7y = - 19 ( add 12 to both sides )

7y = - 7 ( divide both sides by 7 )

y = - 1

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺