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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

ConceptGraphical Method of Solution of a Pair of Linear Equations

#### 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

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#### 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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