Answer:
x-4
y-9
Step-by-step explanation:
x - y = 5
x^2 - y^2 = 65
x = 5 + y
using the given:
square both sides:
x^2 = 25 + 10y + y^2
x^2 = 65 + y^2
65 + y^2 = 25 +10y +y^2
65 = 25 + 10y
40 = 10y
4 = y
y = 4
x - (4) = 5
x = 9
check, does 9^2 - 4^2 = 65?
yes, 81 - 16 = 65
So the answer is;
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✏️ANSWER
Answer:
x-4
y-9
Step-by-step explanation:
x - y = 5
x^2 - y^2 = 65
x = 5 + y
using the given:
x = 5 + y
square both sides:
x^2 = 25 + 10y + y^2
x^2 = 65 + y^2
65 + y^2 = 25 +10y +y^2
65 = 25 + 10y
40 = 10y
4 = y
y = 4
x - y = 5
x - (4) = 5
x = 9
check, does 9^2 - 4^2 = 65?
yes, 81 - 16 = 65
So the answer is;
x-4
y-9