If the pair of linear equations $x + 2y - 4 = 0$ and $2x + 4y - 12 = 0$ are plotted graphically, we get _____ solution(s).

one

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infinite number of

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zero

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three

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Solution

The correct option is C zero
Equation 1:
x + 2y - 4 = 0
x + 2y = 4
When x = 0, 2y = 4 $⟹$ y = 2
When x = 4, 4 + 2y = 4 $⟹$ y = 0

Equation 2:
2x + 4y = 12
When x = 0, 4y = 12 $⟹$ y = 3
When x = 6, 12 + 4y = 12 $⟹$ y = 0

Plotting the linear equation graphically:

This shows that both the linear equations are parallel to each other. Thus, there is no solution for x and y.

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If the pair of linear equations x + 2y - 4 = 0 and 2x + 4y - 12 = 0 are plotted graphically, we get _____ solution(s).

If the pair of linear equations $x + 2y - 4 = 0$ and $2x + 4y - 12 = 0$ are plotted graphically, we get _____ solution(s).