Practice Set 1.2

Complete the tables and solve the simultaneous equations graphically.

Question 1

TEXTBOOK

Complete the following table to draw graph of the equations −

(I) x + y = 3
(II) x − y = 4

Complete all the missing entries in the two tables and use the ordered pairs to draw the graphs.

Solution — Question 1

Step 1 : Complete the tables

For x + y = 3, use y = 3 − x.

For x − y = 4, use y = x − 4.

x + y = 3

x	3	0	−3
y	0	3	6
(x,y)	(3,0)	(0,3)	(−3,6)

x − y = 4

x	4	0	−4
y	0	−4	−8
(x,y)	(4,0)	(0,−4)	(−4,−8)

Question 2

TEXTBOOK

Solve the following simultaneous equations graphically.

(1) x + y = 6 ; x − y = 4

Solution — Q.2 (1)

Step 1 : Make the tables

Choose convenient x-values, calculate y, and write the ordered pairs.

Step 2 : Plot the points and draw the two straight lines

The point of intersection of the two lines gives the graphical solution.

Graphical solution: x = 5, y = 1

(2) x + y = 5 ; x − y = 3

Solution — Q.2 (2)

Step 1 : Make the tables

Choose convenient x-values, calculate y, and write the ordered pairs.

Step 2 : Plot the points and draw the two straight lines

The point of intersection of the two lines gives the graphical solution.

Graphical solution: x = 4, y = 1

(3) x + y = 0 ; 2x − y = 9

Solution — Q.2 (3)

Step 1 : Make the tables

Choose convenient x-values, calculate y, and write the ordered pairs.

Step 2 : Plot the points and draw the two straight lines

The point of intersection of the two lines gives the graphical solution.

Graphical solution: x = 3, y = -3

(4) 3x − y = 2 ; 2x − y = 3

Solution — Q.2 (4)

Step 1 : Make the tables

Choose convenient x-values, calculate y, and write the ordered pairs.

Step 2 : Plot the points and draw the two straight lines

The point of intersection of the two lines gives the graphical solution.

Graphical solution: x = 1, y = 1

(5) 3x − 4y = −7 ; 5x − 2y = 0

Solution — Q.2 (5)

Step 1 : Make the tables

Choose convenient x-values, calculate y, and write the ordered pairs.

Step 2 : Plot the points and draw the two straight lines

The point of intersection of the two lines gives the graphical solution.

Graphical solution: x = 1, y = 2.5

(6) 2x − 3y = 4 ; 3y − x = 4

Solution — Q.2 (6)

Step 1 : Make the tables

Choose convenient x-values, calculate y, and write the ordered pairs.

Step 2 : Plot the points and draw the two straight lines

The point of intersection of the two lines gives the graphical solution.

Graphical solution: x = 2, y = 0

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