CBSE Class 10-Mathematics: Chapter –3 Pair of Linear Equation in Two Variables Part 10

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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

Represent the situation algebraically and graphically

X

Y

Represent the situation algebraically and graphically

X

Y

Represent the situation algebraically and graphically

Represent the Situation Algebraically and Graphically

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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