Question
Represent the following pair of equations graphically and write the coordinates of points where the lines intersects y-axis.
x + 3y = 6,
2x - 3y = 12.
✓
Answer
The given equations are
x + 3y = 6 ......(i)
2x - 3y = 12 ........(ii)
Putting x = 0 in equation (i) we get,
⇒ 0 + 3y = 6
⇒ y = 2
⇒ x = 0, y = 2
Putting y = 0 in equation (i) we get,
⇒ x + 3 × 0 = 6
⇒ x = 6
⇒ x = 6, y = 0
Use the following table to draw the graph.
The graph of (i) can be obtained by plotting the two points A(0, 2), B(6, 0).
2x - 3y = 12 ......(ii)
Putting x = 0 in equation (ii) we get,
⇒ 2 × 0 - 3y = 12
⇒ y = -4
⇒ x = 0, y = -4
Putting y = 0 in equation (ii) we get,
⇒ 2x - 3 × 0 = 12
⇒ x = 6
⇒ x = 6, y = 0
Use the following table to draw the graph.
Draw the graph by plotting two points C(0, -4), D(6, 0) from table.
Graph of lines represented by the equations x + 3y = 6, 2x - 3y = 12 meet y-axis at A(0, 2), C(0, -4) respectively.
x + 3y = 6 ......(i)
2x - 3y = 12 ........(ii)
Putting x = 0 in equation (i) we get,
⇒ 0 + 3y = 6
⇒ y = 2
⇒ x = 0, y = 2
Putting y = 0 in equation (i) we get,
⇒ x + 3 × 0 = 6
⇒ x = 6
⇒ x = 6, y = 0
Use the following table to draw the graph.
|
x
|
0
|
6
|
|
y
|
2
|
0
|
2x - 3y = 12 ......(ii)
Putting x = 0 in equation (ii) we get,
⇒ 2 × 0 - 3y = 12
⇒ y = -4
⇒ x = 0, y = -4
Putting y = 0 in equation (ii) we get,
⇒ 2x - 3 × 0 = 12
⇒ x = 6
⇒ x = 6, y = 0
Use the following table to draw the graph.
|
x
|
0
|
6
|
|
y
|
-4
|
0
|
Graph of lines represented by the equations x + 3y = 6, 2x - 3y = 12 meet y-axis at A(0, 2), C(0, -4) respectively.
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