Question

Will FAN & MEDAL

What is the solution to the system?

Answer 1

write equations of both lines

Answer 2

whats the slope of first line ?

Answer 3

Slope = 2

Answer 4

perfect ! can you write equation of the line ?

Answer 5

in what form?

Answer 6

in any form

Answer 7

whichever is easy for you

Answer 8

Is this good

y= mx +b ??

Answer 9

yes, plugin the values

Answer 10

y = 2x + b

Answer 11

slope = 2,
so the equation would be `y = 2x + b`
use any of the given points and find the value of `b`

Answer 12

What do you mean?

Answer 13

Oh, ok

Answer 14

could b= -3?

Answer 15

similarly can you find the equation of Line 2 ?

Answer 16

look at the second table,
whats the slope of it ?

Answer 17

Ok slope = -1.5

Answer 18

wait a sec, we made a mistake for the equation of Line 1,lets fix it quick

Answer 19

ok

Answer 20

Line 1 :
slope = 2
y = 2x + b
plugging in the point (1, 2) gives you :
2 = 2(1) + b
b = 0
so the equation would be :
\[\large y = 2x\]

Answer 21

ok, got it!

Answer 22

good :) lets find the equatio n of second line quick
you got slope = -1.5 is it ?

Answer 23

Yes, that is the slope

Answer 24

so the equation would be ?

Answer 25

y = -1.5x

Answer 26

But what would the answer be? The ordered pair?

Answer 27

no, it should be `y = -1.5x + b`
and you need to solve `b` still

Answer 28

plugin any of the given points and solve `b`

Answer 29

plugin (4, 1) :

1 = -1.5(4) + b
b = ?

Answer 30

y= -6 + 1

Answer 31

?

Answer 32

1= -6 + b

Answer 33

yes solve b

Answer 34

b = 7

Answer 35

yes equation of second line :
\[\large y = -1.5x + 7\]

Answer 36

so you got your two equations :

y = 2x
y = -1.5x + 7

Answer 37

Ok, so what is the ordered pair?

Answer 38

solve them

Answer 39

solving by substittuion looks easy here

Answer 40

plugin the value of y from first equation into the second equaiton, you get :

2x = -1.5x + 7

solve x

Answer 41

2x = 8.5?

Answer 42

you can't add apples and coconuts like that

Answer 43

Ok, well I am very confused. Can you tell me the answer and then explain. I understand better that way

Answer 44

2x = -1.5x + 7

add 1.5x both sides :
3.5x = 7

divide 3.5 both sides
x = 2

Answer 45

plugin that x value in the first line and solve y

Answer 46

ok

Answer 47

y= 2?

Answer 48

y = 2x
= 2(2)
= 4

Answer 49

Oh, duh! lol

Answer 50

So the ordered pair is 2,4?

Answer 51

so the solution to the overall system is (2, 4)

Answer 52

Ok, thank you so much!

Answer 53

thats pretty long but the good thing is we know how to work it without making mistakes now :) appreciate that you didn't give up that easily !