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Answer:
Negative numbers go first, the greater the number, the smaller the number.
Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.
And the expressions for each arc in the diagram also given as:
Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.
Hence, we will get the system of equations as following:
Arc QR = Arc LN
2x - y = 11 ...(1)
Arc OP = Arc VW
5x + y = 10 ...(2)
Next step is to add the two equation to eliminate y so that we can solve the equations for x. Therefore,
2x+5x = 11 + 10
7x = 21
Divide each sides by 7.
So, x= 3
Now plug in x=3 in equation (2) to get the value of y.
5(3) + y = 10
15 + y =10
15 + y - 15 = 10 - 15 Subtracting 15 from each sides.
y = -5
So, x=3 and y =-5
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