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If we plot these equations graphically, we observe that every point on the line is a common solution to both the equations. A pair of linear equations which has no solution, is called an inconsistent pair of linear equations. A pair of linear equations in two variables, which has a solution, is called a consistent pair of linear equations. A pair of linear equations which are equivalent has infinitely many distinct common solutions. Such a pair is called a dependent pair of linear equations in two variables.
Class 10 Maths Exercise 3. Important Question based on 10th Maths Chapter 3 Form a pair of linear equations for: The sum of the numerator and denominator of the fraction is 3 less than twice the denominator. If the numerator and denominator both are decreased by 1, the numerator becomes half the denominator. How much of each must be melted together to obtain a bar of 16 carat gold, weighing g? It is given that pure gold is 24 carat. Find the price of each.
Now, by using the value of y i. Now, we need to substitute t with 6 in equation 1. Therefore, y is proven to have infinite values. So the variable x, too, has infinite values. The above sums are important to clear the concepts covered in Exercise 3.
You will get many more such solved problems in Class 10 Maths Chapter 3 Exercise 3. Class 10 Maths Ex 3. The problems and solutions given in the study material will give you an idea of the sums that you can expect in the examination.
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