Question
Solve the following systems of equations graphically:
2x + y + 3 = 0
2x - 3y - 7 = 0
✓
Answer
The given equations are:
2x + y + 3 = 0 ......(i)
2x - 3y - 7 = 0 .........(ii)
From (i), y = 3 - 2x ........(iii)
Putting x = 0 in (3), we get y = 3
Putting x = 1 in (3), we get y = 1
Putting x = 2 in (3), we get y = -1
From (ii), $\text{y}=\frac{2\text{x}-7}{3}\ ......(\text{iv})$
Putting x = 2 in (iv), we get y = -1
Putting x = 5 in (iv), we get y = 1
Putting x = 8 in (iv), we get y = 3
Clearly, from the above graph solution of above systam of equations is x = 2 and y = -1.
2x + y + 3 = 0 ......(i)
2x - 3y - 7 = 0 .........(ii)
From (i), y = 3 - 2x ........(iii)
Putting x = 0 in (3), we get y = 3
Putting x = 1 in (3), we get y = 1
Putting x = 2 in (3), we get y = -1
|
x
|
0
|
1
|
2
|
|
y
|
3
|
1
|
-1
|
Putting x = 2 in (iv), we get y = -1
Putting x = 5 in (iv), we get y = 1
Putting x = 8 in (iv), we get y = 3
|
x
|
2
|
5
|
8
|
|
y
|
-1
|
1
|
3
|
Clearly, from the above graph solution of above systam of equations is x = 2 and y = -1.
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