Question
Solve the following systems of equations graphically:
x + y = 6
x - y = 2
✓
Answer
The given equations are
x + y = 6 .......(i)
x - y = 2 ..........(ii)
Putting x = 0 in equation (i), we get,
⇒ 0 + y = 6
⇒ y = 6
x = 0, y = 6
Putting y = 0 in equation (i), we get,
⇒ x + 0 = 6
⇒ x = 6
x = 6, y= 0
Use the following table to draw the graph.
Draw the graph by plotting the two points A(0, 6) and B(6, 0) from table.
Graph of the equation,
x - y = 2 .......(ii)
Putting x = 0 in equation (ii) we get,
⇒ 0 - y = 2
⇒ y = -2
⇒ x = 0, y = -2
Putting y = 0 in equation (ii), we get,
⇒ x - 0 = 2
⇒ x = 2
⇒ x = 2, y = 0
Use the following table to draw the graph.
Draw the graph by plotting the two points C(0, -2) and D(2, 0) from table.
The two lines intersect at points P(4, 2).
Hence x = 4, y = 2 is the solution.
x + y = 6 .......(i)
x - y = 2 ..........(ii)
Putting x = 0 in equation (i), we get,
⇒ 0 + y = 6
⇒ y = 6
x = 0, y = 6
Putting y = 0 in equation (i), we get,
⇒ x + 0 = 6
⇒ x = 6
x = 6, y= 0
Use the following table to draw the graph.
|
x
|
0
|
6
|
|
y
|
6
|
0
|
Graph of the equation,
x - y = 2 .......(ii)
Putting x = 0 in equation (ii) we get,
⇒ 0 - y = 2
⇒ y = -2
⇒ x = 0, y = -2
Putting y = 0 in equation (ii), we get,
⇒ x - 0 = 2
⇒ x = 2
⇒ x = 2, y = 0
Use the following table to draw the graph.
|
x
|
0
|
2
|
|
y
|
-2
|
0
|
The two lines intersect at points P(4, 2).
Hence x = 4, y = 2 is the solution.
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