Question

Circles M and K are congruent,arc QRis congruent to arc LN and arc OP is congruent to
arc VW. Find x and y.

Answer 1

If arc QR is congruent to arc LN, so has the same shape and size, this means that 3x + 4y = 8. If are OP is congruent to arc VW, then 5y + 13 = 2x.
You can solve:
3x + 4y = 8
2x - 5y = 13

Answer 2

so it would be x=7 and y=3

Answer 3

Does that satisfy the equations?

Answer 4

The best way to solve these equations is to write one variable in terms of the other for one equation, then filling it in into the other equation :)
For example:
3x + 4y = 8
4y = 8 - 3x
y = 2 - (3/4)x
Try substituting this expression for y into the second equation.

Answer 5

x=13.14

Answer 6

You would have the correct answer, but I believe you switched a minus sign somewhere :)
2x - 5*( 2 - (3/4)x) = 2x - 10 + (15/4)x = 13
Multiplying the entire equation by 4 for convenience:
8x - 40 + 15x = 52

Answer 7

By the way, when you find x, you can substitute it into either equation to find y

Answer 8

i still get the same answer

Answer 9

Recheck the brackets and minus signs then please :) Could you show us the substitution step of the first equation into the second?