the total cost of 6 books and 7 pens is 79 rupees and the cost of 7 books and pipe is 77 rupees find the cost of one book and two points
Answers
Let the cost of the book be x
And the cost of pen be y
Then the cost of 6 books n 7 pens is
6x+7y = 79
And 7x+6y = 77
Now let us add both equations
13x + 13y = 156
X+y = 12
Let us subtract both equations
-x + y = 2
Now let us add the equations so obtained then
X-x + y +y = 12 + 2
2y = 14
y = 7
Substitute in one equation then
X + 7 = 12
X = 5
So the cost of one book is 5
And one pen is 7
So the cost of 1 book and 2 pens is
X + 2y = 5 + 2(7) = 5 + 14 = 19
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Let the cost of the book be x
And the cost of pen be y
Then the cost of 6 books n 7 pens is
6x+7y = 79
And 7x+6y = 77
Now let us add both equations
13x + 13y = 156
X+y = 12
Let us subtract both equations
-x + y = 2
Now let us add the equations so obtained then
X-x + y +y = 12 + 2
2y = 14
y = 7
Substitute in one equation then
X + 7 = 12
X = 5
So the cost of one book is 5
And one pen is 7
So the cost of 1 book and 2 pens is
X + 2y = 5 + 2(7) = 5 + 14 = 19