Let us consider the Example 3 of Section 3.2. Will the rails cross each other?

Solution:

Given, the pair of linear equations formed.

x + 2y - 4 = 0 be equation 1

2x + 4y - 12 = 0 be equation 2

From equation 1

⇒ x = 4 - 2y be equation (3).

Substitute the value of x = 4 - 2y in Equation (2)

2(4 - 2y) + 4y – 12 = 0

⇒ 8 - 12 = 0

⇒ - 4 = 0

The statement is false.

Thus, the given pair of equations does not have a common solution. Hence the two rails will not cross each other.

☛ Check: NCERT Solutions for Class 10 Maths Chapter 3

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Let us consider the Example 3 of Section 3.2. Will the rails cross each other?

Summary:

The two rails will not cross each other as the equations do not have a common solution.

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☛ Related Questions:

• The ratio of incomes of two persons is 9 : 7 and the ratio of their expenditures is 4 : 3. If each of them manages to save Rs 2000 per month, find their monthly incomes
• Use elimination method to find all possible solutions of the following pair of linear equations : 2x + 3y = 8 (1) 4x + 6y = 7(2)
• Let us consider Example 2 in Section 3.3, i.e.,the cost of 2 pencils and 3 erasers is Rs. 9 and the cost of 4 pencils and 6 erasers is Rs. 18. Find the cost of each pencil and each eraser