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Minchanka [31]
3 years ago
11

Given that x^2 - y^2 = 45 and x + y = 9, find the values of x and y.

Mathematics
1 answer:
eimsori [14]3 years ago
8 0

Answer:

x = 7

y = 2

Step-by-step explanation:

x² - y² = 45    

(x+y) (x-y) = 45

x + y = 9   (known)

9 x  (x-y) = 45

x - y = 5

y = x-5  

x + (x - 5) = 9  (substitute)

2x = 14

x = 7

y = 2

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