Rileyjay715 Rileyjay715
  • 03-06-2018
  • Mathematics
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What is answer to number 3 PLZ HELP HURRY IM TIMED

What is answer to number 3 PLZ HELP HURRY IM TIMED class=

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hisroyal1
hisroyal1 hisroyal1
  • 03-06-2018
Question

y² = x² + 9     ... (Equation 1)

x² + y² = 41   ... (Equation 2)


Substitute (x² + 9) for y² in equation 2

x² + y² = 41   ... (Equation 2)

∴ x² + x² + 9 = 41

2x² + 9 = 41

2x² = 41 - 9

2x² = 32

(2x²)/2 = 32/2

x² = 16

x = +4 OR -4


Substitute 16 for x² in equation 1

y² = x² + 9    ... (Equation 1)

∴ y² = 16 + 9

y² = 25

y = +5 OR -5


Note that these values can be mixed in four ways
(4, -5), (4, 5), (-4, 5), (-4, -5)

The correct answer is the first choice
Answer Link

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