Solve the systems of equations : $y = 3 x - 1; - 9 x + 3 y = 4$

(1, 3)

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(2, 4)

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(1, 2)

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No solution

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Solution

The correct option is D No solution
$y = 3 x - 1$ .......... (1)
$- 9 x + 3 y = 4$ ............ (2)
Substitute $3 x - 1 = y$ in eq. (2)
$- 9 x + 3 (3 x - 1) = 4$
$- 9 x + 9 x - 3 = 4$
$- 3 = 4$
The false numerical statement, -3 $=$ 4, implies that the system has no solution.

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