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
Answer:
(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
Answer:
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
Answer:
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
Answer:
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
Answer:
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
Answer:
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)
