Question

Circles M and K are congruent, QR ≅ LN and OP ≅ VW . Find x and y.

Answer 1

Could you just rewrite one of the equations as variable = stuff then use that to stick into the other equation? I was thinking the easy way would be to take x+y=6 and make it x = 6-y. Then I would use the substitution method, plugging "6-y" into the other equation wherever there was an X. So, doing that would give us: 3(6-y) - y = 10. Now it only has ONE variable, so we can solve for Y, and once we have that we could use the known value for Y to solve for X in either equation. I'm starting to develop a bad habit of doing all the work for the questions I help on, so I will leave the computations to you unless you are still stuck.

Answer 2

Circles are congruent, that is same radius, exactly equal.
And furthermore, QR and LN are the same length, as are WV and OP.
So that means:
x + y = 6
10 = 3x - y

Answer 3

then what do i do?

Answer 4

solve the first equation for x
x = 6 - y
plug into the second equation
10 = 3(6 - y) - y
can you solve that for y?

Answer 5

x = 6 - y

10 = 3(6 - y) – y
10=18-3y-y
?

Answer 6

We have 10 = 3(6-y) - y
So I see you multiplied it out. Yes, that's the first step.

Answer 7

Now what?

Answer 8

subtract 10?

Answer 9

why not put your y's together

Answer 10

3y+y?

Answer 11

or +3y?

Answer 12

We have -3y -y
We can add those -4y on the right side, or put 4y on the left side, your choice.

Answer 13

4y + 10 = 18
Now subtract 10.

Answer 14

x = 6 - y

10 = 3(6 - y) – y
10=18-3y-y
4y + 10 = 18
-10 -10
4y=8
4 4
y=4

Answer 15

would it look like this?

Answer 16

Good.
4y = 8
y = 4 ???
Doesn't sound right.

Answer 17

Basic arithmetic: 4 times 2 = 8. Right? So y = 2.

Answer 18

thanks!!! :)

Answer 19

Still need x. And remember to check your work.
yw