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Practice Set 1.3 Linear Equations In Two Variables Class 10th Mathematics Part 1 MHB Solution

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

Question 2.

Find the values of following determinants.

(1)

(2)

(3)

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

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

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

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

= –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

= 8–18 =10

∴ (x,y) = (6, 5) is solution.

Question 8.

Solve the following simultaneous equations using Cramer’s rule.

⇒

= –2–6 = –8

∴ (x,y) =  is solution.