If the system of linear equations x−$$2y+kz=1$$ $$2x+y+z=2$$, $$3x$$−y−$$kz=3has$$ a solution (x$$,y,$$z), z≠$$0$$,Then $$(x$$, $$y)lies$$ on the straight line whose equation is

Correct option is 34x−3y−4=0

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If the system of linear equations $x - 2 y + k z = 1 2 x + y + z = 2, 3 x - y - k z = 3$ has a solution $(x, y, z), z \neq 0,$ Then $(x, y)$ lies on the straight line whose equation is

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detailed solution

Correct option is C

x−2y+kz=1→(1)2x+y+z=2→(2)3x−y−kz=3→(3)(1)+(3)⇒4x−3y=4⇒(x, y)lies on the straight line 4x−3y−4=0

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If the system of linear equations x−2y+kz=1 2x+y+z=2, 3x−y−kz=3has a solution (x,y,z), z≠0,Then (x, y)lies on the straight line whose equation is

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Ready to Test Your Skills?

free study material

If the system of linear equations $x - 2 y + k z = 1 2 x + y + z = 2, 3 x - y - k z = 3$ has a solution $(x, y, z), z \neq 0,$ Then $(x, y)$ lies on the straight line whose equation is