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General Form of a Linear Equation in Two Variables

The linear eq...

Question

The linear equation $3 x + 4 y = 12$ meets coordinate axes at $(x, 0)$ and $(0, y)$ then $x + y =$

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Solution

$3 x + 4 y = 12$

$\frac{3 x}{12} + \frac{4 y}{12} = 1$

$\frac{x}{4} + \frac{y}{3} = 1$

Hence the equation meets $x - a x i s$ at $(4, 0)$ and $y - a x i s$ at $(0, 3)$

$∴ x + y = 7$

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General Form of a Linear Equation in Two Variables

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