3x - 1/2 y = -7/2
x + 2y = 1

what is the solution of the system of equations?

x = -1

y = 1

Step-by-step explanation:

We need to use simultaneous equations to answer this question. Since x is already by itself in one of the equations, we'll use substitution.

When rearranging the second equation, in terms of x:

x + 2y = 1

x = 1 - 2y (subtract both sides by 2y)

Now we can substitute this into the first equation and we'll only have one variable:

3(1 - 2y) - 1/2y = -7/2

3 - 6y - 1/2 y = -7/2

3 - 6 1/2y = -7/2

3 + 7/2 = 6 1/2 y

6 1/2 =  6 1/2 y

y = 1

Now that we know y, we can find x by substituting the y value into any of the given equations.

x + 2y = 1

x + 2(1) = 1

x + 2 = 1

x = 1 - 2

x = -1

Hope this helps,

Cate

0,0

step-by-step explanation:

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 ☺