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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 - CBSE Class 10 - Mathematics

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Question

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

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

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 3: Pair of Linear Equations in Two Variables
Ex. 3.20 | Q: 4.4 | Page no. 50
Solution 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 Concept: Graphical Method of Solution of a Pair of Linear Equations.
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