Long Answer TypeAftab tells his daughter, 'Seven years ago, I was seven times as old as you were then. Also, three years from now, I shall be three times as old as you will be'. (Isn’t this interesting?) Represent this situation algebraically and graphically.
Let the cost of 1 kg of apples be Rs. x and of 1 kg of grapes be Rs. y. So, algebraic representation
<>2x + y = 160
4x + 2y = 300
⇒ 2x + y = 150
Graphical representation, we have
2x + y = 160
⇒ y = 160 - 2x
We have,
2x + y = 150
⇒ y = 150 - 2x
When we plot the graph of the equation we find that two lines do not intersect i.e. they are parallel.
Fig. 3.3.
(i) 10 students of Class X took part in Mathematics quiz. If the number of girls is 4 more than the number of boys, find the number of boys and girls who took part in the quiz.
Short Answer Type
and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide.
and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide.
and without drawing them, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincide.
find out whether the following pair of linear equations are consistent, or inconsistent.
find out whether the following pair of linear equations are consistent, or inconsistent.
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