Question

Solve the following systems of equations graphically:

2x + 3y = 0

3x - 2y - 12 = 0

Answer 1

For the equation 2x + 3y + 5 = 0,

y = \(\frac{-5-2x}{3}\)

When x = -1 , y = - 1

When x = 5 , y = - 5

Table is:

x	-1	5
y	-1	-5

Plot the points A(-1, -1) B(- 5, 5) on the graph

For the equation 3x – 2y – 12 = 0,

y = \(\frac{3x-12}{2}\)

When x = 0, y = -6

When x = 2 , y = -3

Table is:

x	0	2
y	-6	-3

Plot the points C(0,- 6) D(2,- 3) on the graph

Since the two lines meet at the point (2,- 3)

Therefore, x = 2 and y = - 3