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# System

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find the value of k for which the system of equations has a unique solution 2x+ky-9=0 , kx+3y-13=0. ​

Aug 7, 2021

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find the value of k for which the system of equations has a unique solution 2x+ky-9=0 , kx+3y-13=0. ​

Hello Guest!

2x+ky-9=0 , kx+3y-13=0  ​

$$y=(-2x+9)/k\\ y=(-kx+13)/3$$

The system of equations has unique solutions for many values of k.

$$k\in \{$$ $$-1,$$   $$4,$$    $$5,$$  $$etc.\ \}$$

$$x\in \{$$ $$\ 8,$$    $$2.5,$$  $$2\}$$

$$y\in \{$$ $$\ 7,$$     $$1,$$     $$1\}$$

!

Aug 7, 2021
edited by asinus  Aug 7, 2021