Solution:

Here,
(4a, 6b) = (8, 12)
Comparing the corresponding first and second components,
or, 4a = 8
or, a = \(\frac{8}{4}\)
or, a = 2
And,
or,6b = 12
or, b = \(\frac{12}{6}\)
or, b = 2
∴ a = 2 and b = 2.

Solution:

Here,
(5m+1,−10) = (16, 3n+2)
Comparing the corresponding first and second cpmponents,
or, 5m + 1 = 16
or, 5m = 16 − 1
or, 5m = 15
or, m = \(\frac{15}{5}\)
or, m = 3
And,
or, 3n + 2 = −10
or, 3n = −10 − 2
or, 3n = −12
or, n = \(\frac{−12}{3}\)
or, n = −4
∴ m = 3 and n = −4.

Solution:

Comparing the coressponding first and second components,
Here,
(2x, 3y) = (−6, 9)
or, 2x = −6
or, x = \(\frac{−6}{2}\)
or, x = −3
And,
or, 3y = 9
or, y = \(\frac{9}{3}\)
or, y = 3
∴ x = −3 and y = 3.

Solution:

Here,
(n− 2, \(\frac{m}{4}\)) = (2, 0)
Comparing the corresponding first and second components,
or, n − 2 = 2
or, n = 2 + 2
or, n = 4
And,
or,\(\frac{m}{4}\) = 0
or, m = 0
∴ n = 4 and m = 0

Solution:

Here,
(35, −5) = (a − 2, b + 3)
Comparing the corresponding value First and second components,
or, a − 2 = 35
or, a = 35 + 2
or, a = 37
And,
or, b + 3 = −5
or, b = −5 − 3
or, b = −8
∴ a = 37 and b = −8

Solution:

Here,
(\(\frac{m}{2}\), 3) = (3, \(\frac{n}{2}\) + 1)
Comparing the corresponding first and second components,
or, \(\frac{m}{2}\) = 3
or, m = 3 × 2
or, m = 6
And,
or, \(\frac{n}{2}\) + 1 = 3
or, \(\frac{n}{2}\) = 3 − 1
or, \(\frac{n}{2}\) = 2
or, n = 2 × 2
or, n = 4
∴ m = 6 and n = 4

Solution:

Here,
(−x, 3) = ( 4, −y)
Comparing the corresponding first and second components,
or, −x = 4
or, x = −4
And,
or, −y = 3
or, y = −3
∴ x = −4 and y = −3

Solution:

Here,
(5x, 7y) = (15, 28)
Comparing thr corresponding first and second components,
or, 5x = 15
or, x = \(\frac{15}{5}\)
or, x = 3
And,
or, 7y = 28
or, y = \(\frac{28}{7}\)
or, y = 4
∴ x = 3 and y = 4

Solution:

Here,
(a − 2, b + 1) = (4, 2b)
Comparing the corresponding first and second components,
or,a − 2 = 4
or, a = 4 + 2
or, a = 6
And,
or, b + 1 = 2b
or, 2b − b = 1
or, b = 1
∴ a = 6 and b = 1

Solution:

Here,
(p + 4, 6) = (10, q)
Comparing the corresponding first and second components,
or, p + 4 = 10
or, p = 10 − 4
or, p = 6
And,
or, q = 6
∴ p = 6 and q = 6

Solution:

Here,
(a + 3, b) = (10, 5)
Comparing the corresponding first and second components,
or, a + 3 = 10
or, a = 10 − 3
or, a = 7
And,
or, b = 5
∴ a = 7 and b = 5

Solution:

Here,
(6,−y) = (−x,−4)
Comparing the corresponding first and second components,
or, −x = 6
or, x = −6
And,
or, −y = −4
or, y = 4
∴ x = −6 and y = 4

Solution:

Here,
(a, 3) = (4, b + 1)
Comparing the corresponding first and second components,
or, a = 4
And,
or, b + 1 = 3
or, b = 3 − 1
or, b = 2
∴ a = 4 and b = 2

Solution:;

Here,
(x, y − 2) = (6, 8)
Comparing the corresponding first and second components,
or, x = 6
And,
or, b − 2 = 8
or, b = 8 + 2
or, b = 10
∴ x = 6 and b = 10

Solution:

Here,
(−p, 6q) = (3, 36)
Comparing the corresponding first and second components,
or,−p = 3
or, p = −3
And,
or, 6q = 36
or, q = \(\frac{36}{6}\)
or, q = 6
∴ p = −3 and q = 6