Question

Solve the following linear equations by using graphical method.x/2+2y/3=-1 and x-y/3=3

Answer 1

Answer:

(2, -3)

Step-by-step explanation:

x/2 + 2y/3 = -1

x -y/3 = 3

The highest coefficient of x and y is 1

⇒ It is a linear line

⇒ We need two coordinates each to plot the graph

Find two coordinates of x/2 + 2y/3 = -1

When x = -2

-2/2 + 2y/3 = -1

-1 + 2y/3 = -1

2y/3 = 9

y = 0

The coordinates is (-2,0)

When x = 6

6/2 + 2y/3 = -1

3 + 2y/3 = -1

2y/3 = -4

y = -4 ÷ 2/3

y = -6

The coordinates is (6, -6)

Find two coordinates of x -y/3 = 3 :

When y = 0

x - 0/3 = 3

x = 3

The coordinates is (3, 0)

When x = 4

4 - y/3 = 3

-y/3 = -1

y = -1 ÷ (-1/3)

y = 3

The coordinates is (4, 3)

Plot the graph (See attachment)

x/2 + 2y/3 = -1  (red)

x -y/3 = 3 (blue)

Find the point of intersection:

Point = (2, -3)

Answer:  (2, -3)