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Pair Of Linear Equations In Two Variables

Question

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Check whether, x = 4, y = 5 and x = 2, y = 7.5 are solutions of the system of equation

$straight x over 2 plus straight y over 5 equals 3$ nd 10x + 4y = 50. Also, state, whether system is consistent or inconsistent.

Solution

Solution not provided.
Ans. No, inconsistent

Some More Questions From Pair of Linear Equations in Two Variables Chapter

Which of the following pairs of linear equations are consistent/inconsistent ? Consistent, obtain the solution graphically :

2x + y – 6 = 0, 4x – 2y – 4 = 0

Half the perimeter of a rectangular garden, whose length is 4 m more than its width, is 36 m. Find the dimensions of the garden.

Given the linear equations 2x + 3y - 8 = 0, write another linear equation in two variables such that the geometrical representing of the pair so formed is :

(i) intersecting lines

(ii) parallel lines

(iii) coincident lines.

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