Question

$left { {{x^2+4xy+4y^2=64} atop {x-3y=-7}} right$

Answer 1

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09225241b80ea31d9492e43f5fe90b85.doc

Answer 2

x²+4xy+4y²=64

x-3y=-7

 

(x+2y)²=64

x=-7+3y

 

x+2y=-8 ∨ x+2y=8

x=-7+3y

 

-7+3y+2y=-8

5y=-1

y=-1/5

 

-7+3y+2y=8

5y=15

y=3

 

x=-7+3*(-1/5)

x=-35/5-3/5

x=-38/5

 

x=-7+3*3

x=-7+9

x=2

 

(2,3),(-38/5,-1/5)

 

 

 

 

09225241b80ea31d9492e43f5fe90b85.doc