First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.
Recall the Pythagorean identity:
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
Then
sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5
and so
tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4
cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4
ANSWER
The solution is

EXPLANATION
The given equations are:

and

We multiply equation 1 by 3 to get,

We multiply equation 2 also by 2 to get,

We subtract equation 4 from equation 3 to get,

This implies that,

We put this value of y into any of the equations say equation 2

Simplify

Group like terms

Simplify,

Divide both sides by 3 to get,

Therefore the solution is

The correct answer is option D.
19,810 rounded to the nearest hundred is 19,800.
8 is in the hundreds place, and the number 1 is in front of it.
Numbers 1-4 in front of the number make the number stay the same.
Numbers 5-9 in front of the number make the numbers round up one number.
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