Solve the following pair of linear equations graphically. $x + 3 y = 6; 2 x - 3 y = 12$ . Also find the area of the triangle formed by the lines representing the given equations with $y -$ axis.

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Solution

$x + 3 y = 6$
$2 x - 3 y = 12$
$tan θ_{1} = \frac{6}{2} = 3$
$tan θ_{2} = \frac{6}{- 1} = \frac{- 3}{2}$

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Solve the following pair of linear equations graphically. x+3y=6;2x−3y=12. Also find the area of the triangle formed by the lines representing the given equations with y−axis.

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Solve the following pair of linear equations graphically. $x + 3 y = 6; 2 x - 3 y = 12$ . Also find the area of the triangle formed by the lines representing the given equations with $y -$ axis.

$x + 3 y = 6$
$2 x - 3 y = 12$
$tan θ_{1} = \frac{6}{2} = 3$
$tan θ_{2} = \frac{6}{- 1} = \frac{- 3}{2}$