# Find the values o

Since, the ordered pairs are equal, the corresponding elements are equal.

, a + 3 = 5 …(i) and b – 2 = 1 …(ii)

Solving eq. (i), we get

a + 3 = 5

a = 5 – 3

a = 2

Solving eq. (ii), we get

b – 2 = 1

b = 1 + 2

b = 3

Hence, the value of a = 2 and b = 3.

(ii) Since, the ordered pairs are equal, the corresponding elements are equal.

, a + b = 4 …(i) and 2b – 3 = -5 …(ii)

Solving eq. (ii), we get

2b – 3 = -5

2b = -5 + 3

2b = -2

b = -1

Putting the value of b = - 1 in eq. (i), we get

a + (-1) = 4

a – 1 = 4

a = 4 + 1

a = 5

Hence, the value of a = 5 and b = -1.

(iii) Since the ordered pairs are equal, the corresponding elements are equal. …(i) …(ii)

Solving Eq. (i), we get   a = 5 – 3

a = 2

Solving eq. (ii), we get   b = 1

Hence, the value of a = 2 and b = 1.

(iv) Since, the ordered pairs are equal, the corresponding elements are equal.

, a – 2 = b – 1 …(i)

& 2b + 1 = a + 2 …(ii)

Solving eq. (i), we get

a – 2 = b – 1

a – b = -1 + 2

a – b = 1 … (iii)

Solving eq. (ii), we get

2b + 1 = a + 2

2b – a = 2 – 1

-a + 2b = 1 …(iv)

Adding eq. (iii) and (iv), we get

a – b + (-a) + 2b = 1 + 1

a – b – a + 2b = 2

b = 2

Putting the value of b = 2 in eq. (iii), we get

a – 2 = 1

a = 1 + 2

a = 3

Hence, the value of a = 3 and b = 2.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Let A = {xRS Aggarwal - Mathematics

If A = {3, 4}, B RS Aggarwal - Mathematics

Let A = {2, 3} anRS Aggarwal - Mathematics

If A × B = {(–2, RS Aggarwal - Mathematics

Let A = {–3, –1},RS Aggarwal - Mathematics

If P = {a, b} andRS Aggarwal - Mathematics

If A = {2, 3, 4} RS Aggarwal - Mathematics

Mark the correct RD Sharma - Mathematics

If A = {9, 1} andRS Aggarwal - Mathematics

If A = {x <span lRS Aggarwal - Mathematics