CT 12: Linear Equation – II

1.If the system 18x + 6y = 7, px + y = 2 has a unique solution, then:

2. If the system of equations 7x + ky = 27 and kx + 7y = 19 have unique solution, then which one of the following is correct ?

3. Find the solution for the below equations.

u + v = 10 ; u - v = 2

4. 5 pencils, 6 notebooks and 7 erasers cost Rs. 250; whereas 6 pencils, 4 notebooks and 2 erasers cost Rs. 180. What is the cost of 2 notebooks and 4 erasers ?

5. The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

6. If a/b=3/4 and 9a + 5b = 22, then the value of a is

7. The cost of 5 pens and 3 erasers is Rs. 140. What is the cost price of 30 pens and 18 erasers?

8. A Salesman is entitled to Rs. 15 for every km being travelled by car and Rs. 5 for every km being travelled by bike. In a day, if he has made a claim of Rs. 600 after covering 90 kms, how many kms did he travel by bike?

9. For what value of k, the system of linear equations 2x - y = 3, 4x + ky = 4 has no solution?

10. If a + b = 10, b + c = 14 and a + c = 8, then find (a + b + c)/b.