### Practice Set 1.2 Linear Equations In Two Variables Class 10th Mathematics Part 1 MHB Solution

Practice Set 1.2

Complete the following table to draw graph of the equations - (I) x+y = 3 (II) x - y =…

(1) x + y = 6; x - y = 4 Solve the following simultaneous equation graphically.…

x + y = 5; x - y = 3 Solve the following simultaneous equation graphically.…

x + y = 0; 2x - y = 9 Solve the following simultaneous equation graphically.…

3x - y = 2; 2x - y = 3 Solve the following simultaneous equation graphically.…

3x - 4y = -7; 5x - 2y = 0 Solve the following simultaneous equation graphically.…

###### Practice Set 1.2

Question 1.

Complete the following table to draw graph of the equations -

(I) x+y = 3 (II) x – y = 4  (1). In Equation i. Put value x=3 in Eq. I we get, ⇒ ii. Put value y=5 in Eq. I we get, ⇒ iii. Put value y=3 in Eq. I we get, ⇒   (2). In Equation i. Put value y=0 in Eq. II we get, ⇒ ii. Put value x=–1 in Eq. I we get, iii. Put value y=–4 in Eq. I we get, ⇒   Question 2.

Solve the following simultaneous equation graphically.

(1) x + y = 6; x – y = 4

Eq. I =  Eq. II =  Calculating intersecting point   Putting x= 5 in Eq.I

5+ y = 6   Question 3.

Solve the following simultaneous equation graphically.

x + y = 5; x – y = 3

Eq. I =  Eq. II =  Calculating intersecting point   Putting x= 4 in Eq.I

4+ y = 5  Intersection Point (4,1) Question 4.

Solve the following simultaneous equation graphically.

x + y = 0; 2x – y = 9

Eq. I =  Eq. II =  Calculating intersecting point     Putting x= 3 in Eq.I

3+ y = 0  Intersection point (3,–3) Question 5.

Solve the following simultaneous equation graphically.

3x – y = 2; 2x – y = 3

Eq. I =  Eq. II =  Calculating intersecting point   Putting x= –1 in Eq.I

3× –1 – y = 2   Intersection point (–1,–5) Question 6.

Solve the following simultaneous equation graphically.

3x – 4y = –7; 5x – 2y = 0

Eq. I = When x = 0, 4y = 7, y = 7/4
When y = 0, 3x = -7, x = -7/3

Eq. II = When x = 0, y = 0
When x = 1, y = 5/2

Plotting both the graphs we get,  Calculating intersecting point   Putting x= –1 in Eq.I

3× –1 – y = 2   Intersection point (–1,–5)

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