Question

PLEASE HELP ME!!!

Ted practices two types of swimming styles for a total of 50 minutes every day. He spends 20 minutes more practicing the breast stroke than the butterfly stroke.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Ted practices the butterfly stroke every day (x) and the number of minutes he practices the breast stroke every day (y). (5 points)

Answer 1

i know much how time but idk two linear equations!! @AriPotta @Catlover5925 @campbell_st

Answer 2

35 mintues breast stroke and 15 minutes butterfly

Answer 3

do you know?

Answer 4

@Secret-Ninja @KamiBug @Catlover5925

Answer 5

@phi

Answer 6

they tell you
number of minutes Ted practices the butterfly stroke every day (x)

in other words, "x" is the name for number of minutes swimming the butterfly

also, y is the number of minutes swimming the breast stroke.

Answer 7

if you add them up
and
use the info for a total of 50 minutes every day.

can you write an equation ?

Answer 8

but then the next part is how long does Ted swing the Breast stroke well its 35 and butterfly is 15 so y=15+35?

Answer 9

First, can you write an equation for how much the sum of x and y is ?

Answer 10

50=x+y

Answer 11

think: "number of minutes on breast" plus "number of minutes on butterfly" is 50

yes
50= x+y
or
x+y= 50 (this is standard form... the variables are on the left side)

Answer 12

okay so but it says two pairs of linear equations

Answer 13

so x+y=50 and what is another one

Answer 14

now
20 minutes more practicing the breast stroke than the butterfly

now use common sense, which does he practice more on, breast or butterfly ?

Answer 15

breast.

Answer 16

butter fly is x
breast is y

y is more than x (more time on the breast)
y is how many more minutes than x ?

Answer 17

20

Answer 18

so say to your self
y is 20 more than x

write that as an equation

Answer 19

is --> =
more than --> add

Answer 20

20y+x=50?? but i dont think thats it

Answer 21

y is 20 more than x

you can usually think of "is" as =
so, getting closer to an equation:
y = 20 more than x

Answer 22

i truthfully dont know

Answer 23

what is one more than two ?

Answer 24

3

Answer 25

how did you figure that out ?

Answer 26

because if you add 1 to two you get 3 lol

Answer 27

50-20=x+y?

Answer 28

yes. now use the same idea: one more than x

Answer 29

you can't get a number, but you can show one more than x as 1+x

Answer 30

okay

Answer 31

it's like one more than two is 1+2 (which you can simplify to 3)

so far we have
y = 20 more than x

any ideas?

Answer 32

so y=x+20?

Answer 33

yes

Answer 34

Thanks!!!

Answer 35

notice that y=x+20 is really a (very) shortened version of
y (time spent on breast) is 20 minutes more than x (time spent on butterfly)

Answer 36

to solve
x+y= 50
y= x+20
you can use substitution. y is the "same" as x+20
so in the first equation, write it as
x+ (x+20) = 50
and simplify... and solve for x