Question

Circles M and K are congruent, QR=LN and OP= VW. I need to find x and y

Answer 1

@Tommy389

Answer 2

Since QR=LN, QR = x+y, and LN = 6, this means

QR=LN

x+y=6

Answer 3

OP = VW

3x-y = VW ... plug in OP = 3x-y

3x-y = 10 ... plug in VW = 10

Answer 4

ok :)?

Answer 5

We now have this system of equations

x+y = 6
3x-y = 10

Answer 6

yeah?

Answer 7

Do you know how to solve that system?

Answer 8

not really :( thats why I need your help!

Answer 9

If we add the equations, we get

x+y = 6
3x-y = 10
---------
4x+0y = 16


Notice how x+3x = 4x, y+(-y) = 0y, and 6+10 = 16

Answer 10

4x+0y = 16

4x+0 = 16

x = ???

Answer 11

x=4 :)

Answer 12

now use that to find y

Answer 13

pick any equation with x,y in it

say we pick x+y = 6

Answer 14

plug in x = 4 and solve for y

x+y = 6

4+y = 6

y = ??

Answer 15

y=2 :) :)

Answer 16

THANK YOU SO MUCHHH!! you saved mee!

Answer 17

would you please help me with a few more :)??

Answer 18

yep x = 4,y = 2

Answer 19

I can do one more

Answer 20

ok thanks!

Answer 21

just give me a second to draw the circles

Answer 22

sure thing

Answer 23

take your time

Answer 24

Circles M and K are congruent, QR=LN and OP=VW. I need to find y.

Answer 25

I am stuck on this one :(

Answer 26

Same idea as before

QR = LN

2x = y+12

------------

OP = VW

3x = 19+y

Answer 27

ok :)?

Answer 28

One way to solve is to first isolate y in 2x = y+12 to get

2x = y+12

2x-12 = y

y = 2x - 12

Answer 29

Then plug this into 3x = 19+y and solve for x

3x = 19+y

3x = 19+2x - 12

x = ???

Answer 30

x=7 ?

Answer 31

so, 3(7)=19+2x-12?

Answer 32

oh, 3(7)=19+2(7)-12?

Answer 33

x = 7 is correct

Answer 34

now use this to find y

y = 2x - 12

y = 2*7 - 12

y = 14 - 12

y = 2

Answer 35

THANK YOU SO MUCHH!! ill let you go now, thank you so much, couldnt have done it without youu

Answer 36

I'm sure you could have. I'm glad to be of help.