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Mathematics 19 Online
OpenStudy (anonymous):

Circles M and K are congruent, QR is congruent to LN and OP is congruent to VW . Find x and y. I got x=-0.52 and y = 2.39. But I get the feeling I got it wrong. Is it wrong??

OpenStudy (anonymous):

OpenStudy (anonymous):

I know that I have to solve 8=3x+4y and 2x=5y+13.

OpenStudy (danjs):

yea

OpenStudy (danjs):

3x + 4y = 8 2x - 5y = 13

OpenStudy (danjs):

multiply the first equation by 5 and the second by 4 all the way through

OpenStudy (danjs):

15x + 20y = 40 8x - 20y = 52

OpenStudy (danjs):

now add them together, notice the y term falls out

OpenStudy (anonymous):

I'm going to use the elimination method and I multipled one by -2 and another by 3 to get 16= 6x+8y and 39=-6x+15y

OpenStudy (danjs):

ok

OpenStudy (anonymous):

and eliminated the x to get 55=23y

OpenStudy (anonymous):

y = 55/23 = 2.39..... Is it right?

OpenStudy (danjs):

nah,...

OpenStudy (anonymous):

o.O

OpenStudy (danjs):

x=4 y=-1

OpenStudy (danjs):

i think you messed up when you multiplied the equations through

OpenStudy (danjs):

3x + 4y = 8 2x - 5y = 13

OpenStudy (danjs):

-2 times the first and 3 times the second

OpenStudy (danjs):

-6x - 8y = -16 6x -15y = 39

OpenStudy (danjs):

-23y = 23

OpenStudy (danjs):

y = -1

OpenStudy (danjs):

you had a +15y in yours, it was a -15y

OpenStudy (anonymous):

oh yeah your right! I got y=-1 x=4 xDD

OpenStudy (danjs):

cool

OpenStudy (anonymous):

Thank you for helping! :D

OpenStudy (danjs):

yw

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