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)