Question

`6. Amrita was very fond of reading books. 50. she went to the National Book faur at PmaeatMaidan in New Delhi to get some story books and text books. When her friends asked hehow many of each she had bought, she answered, four times the number of test books i$1X more than thnce the number of story books. Also, seven times the number of texbooks added to thrice the number of story books gives 27.i) Taking the number of text books and storv books bought by Amrita as x and xrespectively, the pair of linear equations formed in this case isa) 4x+3y=6;7x+3y=27 b) 4x-3y=-6;7x+3y=27 c) 4x-3y=6;7x+3y=27 d) x-3y=-6;7x-3y=27 ii) The number of text books and story books bought by Amrita from the fair area) Text Books =4 Story Book: =3 b) Text Books =4 Story Books =6 9 Text Books =6 ,Story Book =4 d) Text Book s=3 Story Books =2 iii) The value of k for which the system of equation kx+3y=k-3;12x+ky=k has a) k=6 b) k=-6 c) k=6 or k=-6 d)k =1 solution isa) (0,-4) b) (2,-8) c) (0,4) d) (4,0) iv) The linear equation 2x-y=4 intersects the y- axis at the point `​

Answer 1

Step-by-step explanation:

Given: the books bought by Amrita is four times the number of text books is six more than thrice the number of storybooks. Also, seven times the number of textbooks added to thrice the number of storybooks gives 27.

To find: the pair of linear equations formed.

Solution:

Take the number of textbooks and storybooks bought by Amrita as x and y respectively.

Form the required equations.

Four times the number of textbooks i.e., (4x)(4x) is six more than thrice the number of storybooks i.e., (6+3y)(6+3y)

4x=6+3y4x=6+3y

\Rightarrow 4x - 3y = 6⇒4x−3y=6

Seven times the number of text books i.e., (7x)(7x) added to thrice the number of storybooks i.e., (3y)(3y) gives 27.

7x + 3y = 277x+3y=27

Therefore, the equation formed are 4x - 3y = 64x−3y=6 and 7x + 3y = 277x+3y=27 respectively.

Hence, the correct answer is option (c). i..e, 4x - 3y = 6; 7x + 3y = 274x−3y=6;7x+3y=27 .

Answer 2

Given:

The books bought by Amrita is four times the number of text books is six more than thrice the number of storybooks. Also, seven times the number of textbooks added to thrice the number of storybooks gives 27.

To find:

The pair of linear equations formed.

Solution:

Take the number of textbooks and storybooks bought by Amrita as "x" and "y" respectively.

Form the required equations.

Four times the number of textbooks i.e., "4x" is six more than thrice the number of storybooks i.e., "6+3y"

4x = 6+3y

⇒ 4x − 3y = 6

Seven times the number of text books i.e., "7x" added to thrice the number of storybooks i.e., "3y"gives 27.

7x + 3y = 27

Therefore, the equation formed are 4x - 3y = 6 and 7x + 3y = 27 respectively.

Hence, the correct answer is option (c), i.e. 4x - 3y = 6; 7x + 3y = 27.