# CBSE Class 10-Mathematics: Chapter – 3 Pair of Linear Equation in Two Variables Part 10 (For CBSE, ICSE, IAS, NET, NRA 2022)

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**Question 12**:

Find the values of and for which the following system of linear equations has infinite number of solutions.

**Answer**:

If infinite number of number of solutions

Or

If

And if

On solving we get

**Question 13**:

Solve for where

**Answer**:

And

**Question 14**:

The cost of two kg of apples and of grapes on a day was found to be . After a month, the cost of 4 kg apples and grapes is . Represent the situation algebraically and graphically.

**Answer**:

Let the cost of one of apple is and one of grapes is y.

According to question,

and

X | |||

Y |

X | |||

Y |

**Question 15**

Find the value of for which the system of equation and will have no solution.

**Answer**:

The system has no solution.

If

If