Question

system of linear system:
y=-x+15
y=x+1

Answer 1

if -x+15 equals y
and x+1 equals y
then
-x+15 = x+1
can you solve this for x?

Answer 2

would you add x to both sides

Answer 3

that is a good step:
-x +15 +x = x+1 +x

Answer 4

what do you get after simplifying?

Answer 5

i really need to be taught step by step

Answer 6

first do the left side of
-x +15 +x = x+1 +x

if instead of x we had 2: -2 + 15 +2 what is that?

Answer 7

ratio 2:-2

Answer 8

no, it is just adding (but using negative numbers)
-2 + 15 +2 is 15 (-2 + 2 is 0 and 0+15 is 15)
it is the same for x:

-x + 15 + x is the same as x + -x +15, x + -x is 0 and 0+15 is 15

-x +15 +x = x+1 +x
becomes
15 = x+1+x
we can write this as
15= x+x+1 (just switched the order)
do you know what x+x is?

Answer 9

x^2

Answer 10

x^2 means x*x (x times x)

this is x plus x
if you have 1 x and add one more x how many x's do you have?

Answer 11

2x

Answer 12

yes so now we have
15= x+x+1 becomes
15 = 2x + 1

what happens if you add -1 to both sides?

Answer 13

but were suppose to get an ordered pair

Answer 14

first things first.

15 = 2x + 1

what happens if you add -1 to both sides?

Answer 15

i got 14/2 which equals 7

Answer 16

15 -1 = 2x +1 -1
15-1 is 14
14= 2x + 1 -1
1-1 is 0
14= 2x+0
2x+0 is 2x

14= 2x
divide both sides by 2
14/2 = 2x/2
7= x

yes, that is good.
now you need y

Answer 17

so i would subsitute x for 7 right

Answer 18

yes. you can use either equation (they both better give the same answer for y)
I would use
y=x+1

because it looks easier to figure out

Answer 19

so it would be 7 and 7

Answer 20

how?

Answer 21

y=x+1

Answer 22

so i plugged in the 7 for x and got 8 sorry

Answer 23

yes, much better x=7, y=8 is the answer.

Answer 24

or (7,8) if they want an "ordered pair"

Answer 25

would you mind helping me with two more please @phi

Answer 26

please make it a new post