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S_A_V [24]
3 years ago
10

One number is seven more than a second number. Twice the first is 2 less than 3 times the second. Find the numbers.

Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

Step-by-step explanation:

Linear equations. Make 2 new equations from the question. Name the first number as x and the second as y...

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x^2+y^2-6x+4y+4=0\ \ \ |-4\\\\x^2-2\cdot x\cdot3+y^2+2\cdot y\cdot2=-4\ \ \ |+3^2\ |+2^2\\\\\underbrace{x^2-2\cdot x\cdot3+3^2}_{(a-b)^2=a^2-2ab+b^2}+\underbrace{y^2+2\cdot y\cdot2+2^2}_{(a+b)^2=a^2+2ab+b^2}=-4+3^2+2^2\\\\(x-3)^2+(y+2)^2=3^2

Answer:

the center: (3, -2)

the radius: 3

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