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3 years ago

15

What is the apparent solution to this system of equations?

1 answer:

const2013 [10]3 years ago

3 0

The answer is 123456 okay

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This was given to me during a summative test and the teacher didn't bother giving me the correction. I just cannot figure it out

Dmitry [639]

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ATQ

$\\ \sf\longmapsto xy=6050\dots 1$

$\\ \sf\longmapsto 2(x+y)=220\implies x+y=110\dots 2$

Now

$\\ \sf\longmapsto (x+y)^2=x^2+y^2+2xy$

$\\ \sf\longmapsto 110^2-2(6050)=x^2+y^2$

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$\\ \sf\longmapsto x^2+y^2=0\dots(3)$

From all equations

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$\\ \sf\longmapsto (x-y)^2=0-2(6050)$

$\\ \sf\longmapsto (x-y)^2=-12100$

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Now

Adding 3 and 4

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$\\ \sf\longmapsto x=110m$

One side won't be covered hence

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