Practice Set 1.3
Fill in the blanks with correct number | ll 3&2 4&5 | = 3 x square - square x 4 =…
Find the values of following determinants. (1) | ll -1&7 2&4 | (2) | cc 5&3 -7&0 | (3)…
3x - 4y = 10; 4x + 3y = 5 Solve the following simultaneous equations using Cramer’s…
4x + 3y - 4 = 0; 6x = 8 - 5y Solve the following simultaneous equations using Cramer’s…
x + 2y = -1; 2x - 3y = 12 Solve the following simultaneous equations using Cramer’s…
6x - 4y = -12; 8x - 3y = -2 Solve the following simultaneous equations using Cramer’s…
4m + 6n = 54; 3m + 2n = 28 Solve the following simultaneous equations using Cramer’s…
2x+3y = 2 x - y/2 = 1/2 Solve the following simultaneous equations using Cramer’s…
Practice Set 1.3
Question 1.
Fill in the blanks with correct number
Answer:
Question 2.
Find the values of following determinants.
(1) 
(2) 
(3) 
Answer:
we know, determinant of a 2 × 2 matrix
is (ad - bc)
(1) (–1× 4) – (7 × 2) = –4 – 14 = –18
(2) (5× 0)– (3× –7)= 0 –(–21) = 21
(3) 
=
Question 3.
Solve the following simultaneous equations using Cramer’s rule.
3x – 4y = 10; 4x + 3y = 5
Answer:
D= 
= 
= 
= 
= 
= 50
= 
= 
= –25
= 
= 2 
∴ (x,y) = (2, –1) is the solution
Question 4.
Solve the following simultaneous equations using Cramer’s rule.
4x + 3y – 4 = 0; 6x = 8 – 5y
Answer:
D = 
= 
= 20–18 =2
= 
= 20–24 =–4
= 
= 32–24 = 8
∴(x,y)= (–2, 4) is the solution.
Question 5.
Solve the following simultaneous equations using Cramer’s rule.
x + 2y = –1; 2x – 3y = 12
Answer:
D = 
= –3–4 = –7
= 
= 3–24= –21
= 
=12+2 = 14
∴ (x,y) = (3, –2) is solution.
Question 6.
Solve the following simultaneous equations using Cramer’s rule.
6x – 4y = –12; 8x – 3y = –2
Answer:
= –18 + 32 = 14
∴ (x,y) = (2, 6) is solution.
Question 7.
Solve the following simultaneous equations using Cramer’s rule.
4m + 6n = 54; 3m + 2n = 28
Answer:
= 8–18 =10
∴ (x,y) = (6, 5) is solution.
Question 8.
Solve the following simultaneous equations using Cramer’s rule.
Answer:
⇒ 
= –2–6 = –8
∴ (x,y) = 
is solution.
