Find the root the following equations \(3x-\frac { 1 }{ 3 } =\frac { 2 }{ 3 } \)

2

(a)

Find the root the following equations \(2p+9=\frac { -17 }{ 7 } \)

2

(a)

Solve the following equations and check your result. 5x + 9 = 5 + 3x.

2

(a)

Solve the following equations and check your result. \(3m=5m-\frac { 8 }{ 5 } \)

2

(a)

If the length and breadth of a rectangular field are in the ratio 6:4. Find the length and breadth, if cost of fencing the field at the rate of Rs. 80 per metre is Rs. 16000.

2

(a)

Find the solution of  \(\frac { y-(4-3y) }{ 2y-(3+4y) } =\frac { 1 }{ 5 } \).

2

(a)

Solve \(\frac { 13 }{ 5 } -5x=13\)

2

(a)

What should be subtracted from thrice the rational number \(\frac { -13 }{ 4 } \) to get \(\frac { 5 }{ 8 } \) ?

2

(a)

Solve 0.44 t - 1.05 = 2 (0.71 t -0.01) + 1.11

2

(a)

Identify the linear equations in one variable from the following.x² + 1 = 4, y+y² = 3,z+4 = z² +z³ 5x= 1,\(\frac{4}{3}\) = y, 4z-12 = \(\frac{5}{7}\)

2

(a)

The sum of two numbers is 74. If one of the numbers is 10 more than the other, then what are the numbers?

2

(a)

The perimeter of a rectangle is 13 cm. If its width is \(2{3\over 4}\) cm, then find its length.

2

(a)

The present age of Prabha's mother is three times the present age of Prabha. After 5 years their ages will add to 66 years. Find their present ages.

2

(a)

The sum of the digits of a two-digit number is 13. If the digits are interchanged, and the resulting number is added to the original number, then we get 143. What is the original number?

2

(a)

The length and breadth of a rectangular field are in the ratio 6: 4. Find the length and breadth if the cost of fencing the field at the rate of Rs 80 per metre is Rs 16,000.

2

(a)