How do you do 11x + y = 4, x + y = -2, x - 2y = 18 how can you determine which equations can be graphed more easily using x- and y-intercepts, rewriting in slope-intercept form, or using a table of values? which method works best for you personally? when does it not work as well?

11x + y = 4

x  |   y

0  |   4

|   0

plot the y-intercept (0, 4) and the x-intercept (, 0)

or

11x + y = 4

-11x        -11x

      y = -11x + 4      ⇒ m = , b = 4

plot at point the y-intercept "b = 4" (0,4).  plot the next point using the slope "m = " from point (0,4), count down 11 and to the right 1 (1,-7).

Using intercepts would not provide an accurate graph because you have to estimte where (, 0) is, so it is best to use slope-intercept form.

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x + y = -2

x  |   y

0  |  -2

-2 |   0

plot the y-intercept (0, -2) and the x-intercept (-2, 0)

or

x + y = -2

-x         -x

     y = -x - 2     ⇒ m = , b = -2

plot at point the y-intercept "b = -2" (0,-2).  plot the next point using the slope "m = " from point (0,-2), count down 1 and to the right 1 (1,-3).

Both methods are easy to use so either can be used.

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x - 2y = 18

x  |   y

0  |  -9

18 |   0

plot the y-intercept (0, -9) and the x-intercept (18, 0)

or

x - 2y = 18

-x           -x

   -2y = -x + 18

       y = - 9

plot at point the y-intercept "b = -9" (0,-9).  plot the next point using the slope "m = " from point (0,-9), count up 1 and to the right 2 (2,-8).

Using intercepts will make a large graph since you have to plot (18,0) so it is best to use the slope-intercept form.

the answer is 375 miles

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 ☺