Question

Help! Fan and medal.

What is the ordered pair?
Y=-x+2 and y=3x-1

2. What is the ordered pair?
-2x+5y=-10 and -3x + 5y =-20

Answer 1

for the first one, set \[-x+2=3x-1\] and solve for \(x\) in three steps

Answer 2

clear what the steps are?

Answer 3

Do u add -1x from 3x or subtract?

Answer 4

add \(x\) to both sides first to get rid of the \(-x\) on the left

Answer 5

I got 0.5 that's not right is it?

Answer 6

no it isn't
if you add \(x\) to both sides you get \[2=4x-1\] now add 1 to both sides

Answer 7

0.75, I'm sorry I forgot the 1. To find the y I just plug 0.75 in one of the first equations right?

Answer 8

yes

Answer 9

or if you like fractions, plug in \(\frac{3}{4}\) same thing

Answer 10

Lol I'm horrible at fractions. How do I do the second one?

Answer 11

Do u want me to do it on a different question so that u can get 2 medals ?

Answer 12

no no this is fine here

Answer 13

\[-2x+5y=-10 \\ -3x + 5y =-20\]

Answer 14

multiply each term in the second equation by \(-1\)

Answer 15

in other words, change the sign of everything in the second equation

Answer 16

Do u want me to do it on a different question so that u can get 2 medals ?

Answer 17

no here is fine

Answer 18

\[-2x+5y=-10 \\ -3x + 5y =-20\] multiply the second one by \(-1\) and you get \[-2x+5y=-10 \\ 3x - 5y =20\]

Answer 19

now add, and the y terms will go bye bye

Answer 20

i didnt resend that i dont know what happened. so it becomes 1x right?

Answer 21

on the left, yes, and on the right you get \(-10+20=10\)

Answer 22

what? how did u get that? I thought u would just devide 20 by one after that. How did u get the -10

Answer 23

Im sorry, im horrible at math.

Answer 24

\[-2x+5y=-10 \\ 3x - 5y =20\] add in a column
on the left you get just \(x\) and on the right you get \(-10+20=10\)

Answer 25

which means of course that \(x=10\)

Answer 26

then to find the \(y\) replace \(x\) by \(10\) in either equation

Answer 27

ohhhhhhh, never mind i see now. Im sorry, so now i just put the x in the first equation again . Thank you!

Answer 28

right

Answer 29

y=2 ?

Answer 30

i don't know lwet me check

Answer 31

yup \(x=10,y=2\)
http://www.wolframalpha.com/input/?i=-2x%2B5y%3D-10+and+-3x+%2B+5y+%3D-20

Answer 32

Thank you!

Answer 33

yw

Answer 34

Hey do u know how to find out how many solutions something has?