The number of solutions of the equations 3x + 4y + 5z = 18, 2x - y + 8z = 13, 5x - 2y + 7z =20, is

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Infinity

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Solution

The correct option is B 1
$Δ = ∣ ∣ ∣ ∣ \begin{matrix} 3 & 4 & 5 2 & - 1 & 8 5 & - 2 & 7 \end{matrix} ∣ ∣ ∣ ∣$
$= 27 + 104 + 5$
$∴ Δ \neq 0$
$∴$ trivial solution

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Similar questions

3 x + 4 y + 5 z = 18, 2 x - y + 8 z = 13, 5 x - 2 y + 7 z = 20

3 x + 4 y + 5 z = 18, 2 x - y + 8 z = 13, 5 x - 2 y + 7 z = 20

3 x + 4 y + 5 z = 18

2 x - y - 8 z = 13

5 x - 2 y + 7 z = 20

3 x + 4 y + 5 z = 18

2 x - y + 8 z = 13

5 x - 2 y + 7 z = 20

3 x + 2 y = 1

4 x + 7 z = 1

x + y + z = 3

x - 2 y + 7 z = 0

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