The pair of linear equations x + y + 10 = 0 and x + y - 7 = 0 has:

Infinitely many solutions

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No solutions

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One solution

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Two solutions

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Solution

The correct option is B
No solutions

The given pair of linear equations are:

x + y + 10 = 0
x + y - 7 = 0
Since the line x + y + 10 = 0 do not intersect the line x + y - 7 = 0 at any point.

Hence, the given system of equations has no solution.

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Similar questions

Pair of linear equations x + 2y + 5 = 0 and 3x + 6y -1 = 0 have

\frac{5}{x + y} - \frac{2}{x - y} = - 1 \frac{15}{x + y} + \frac{7}{x - y} = 10

W h e r e x \neq 0, y \neq 0

\frac{3}{\sqrt{x}} + \frac{4}{\sqrt{y}} = 2, \frac{5}{\sqrt{x}} + \frac{7}{\sqrt{y}} = \frac{41}{12} (x > 0, y > 0)

x = 0

y = - 7

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