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# Pls Help ASAP

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write a system of 3 equations and 3 variables that has the unique solution of (-1,1,2).

Jul 19, 2020

#1
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write a system of 3 equations and 3 variables that has the unique solution of (-1,1,2).

Hello Guest!

$$x+y+z=2$$

$$x y-z=-3$$

$$x+y+z^2=4$$

!

Jul 19, 2020
#2
+10791
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I prove it

$$x+y+z=2\\ xy-z=-3\\ x+y+z^2=4$$

$$x=-1\\ y=1\\ z=2$$

$$-1+1+2=2\\ -1\cdot 1-2=-3\\ -1+1+2^2=4$$

q.e.d.

Mistake!
The question asks for a unique solution. The equations are solved by both x = -1, y = 1, z = 2 and x = 1, y = -1, z = 2.
The correction follows.

!

Jul 19, 2020
edited by asinus  Jul 19, 2020