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16xy, 24x^2y^2 are two expressions with gcf of 8xy.
Answer:
The answer to your question is (x + 7)² + (y - 5)² = 88
Step-by-step explanation:
Equation
x² + 14x + y² - 10y = 14
Complete perfect trinomial squares
x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²
Simplify
x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25
x² + 14x + (7)² + y² - 10y + (5)² = 88
Factor
(x + 7)² + (y - 5)² = 88 This is the equation in the form
center-radius
Answer: x = -8 ; y = -6
Step-by-step explanation:
1*x-2*y=4
1*x = 4 + 2*y
x = 4 + 2*y
Now you replace the value of x on the following equation:
-1*x+10*y=8
-1*(4 + 2*y) = 8
-4 - 2*y = 8
-2*y = 8+4
-2*y = 12
y = -12/2
y = -6
You replace the value of y in the previous equation:
x = 4 + 2*y
x = 4 + 2*(-6)
x = 4 - 12
x = -8
