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Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically 2x – 2y – 2 = 0, 4x – 4y – 5 = 0 - Mathematics

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Which of the following pairs of linear equations are consistent/ inconsistent? If consistent, obtain the solution graphically 2x – 2y – 2 = 0, 4x – 4y – 5 = 0

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Solution

2x − 2y − 2 = 0

4x − 4− 5 = 0

`(a_1)/(a_2)=2/4=1/2, (b_1)/(b_2) = (-2)/(-4)=1/2, (c_1)/(c_2) = 2/5`

Since `(a_1)/(a_2)=(b_1)/(b_2) != (c_1)/(c_2)`

Therefore, these linear equations are parallel to each other and thus have no possible solution. Hence, the pair of linear equations is inconsistent

Concept: Graphical Method of Solution of a Pair of Linear Equations
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APPEARS IN

NCERT Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.2 | Q 4.4 | Page 50
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