Question
Solve the following systems of equations graphically:
x + y = 4
2x - 3y = 3
✓
Answer
The given equations are,
x + y = 4 ......(i)
2x - 3y = 3 ........(ii)
From (i), y = 4 - x .......(iii)
Putting x = 0 in (iii), we get y = 4
Putting x = 1 in (iii), we get y = 3
Putting x = 2 in (iii), we get y = 2
From (ii), $\text{y}=\frac{2\text{x}-3}{3}\ ......(\text{iv})$
Putting x = 0 in (iv), we get y = -1
Putting x = 3 in (iv), we get y = 1
Putting x = 6 in (iv), we get y = 3
Clearly, from the above graph solution of above syatam of equations is x = 3 and y = 1.
x + y = 4 ......(i)
2x - 3y = 3 ........(ii)
From (i), y = 4 - x .......(iii)
Putting x = 0 in (iii), we get y = 4
Putting x = 1 in (iii), we get y = 3
Putting x = 2 in (iii), we get y = 2
|
x
|
0
|
1
|
2
|
|
y
|
4
|
3
|
2
|
Putting x = 0 in (iv), we get y = -1
Putting x = 3 in (iv), we get y = 1
Putting x = 6 in (iv), we get y = 3
|
x
|
0
|
3
|
6
|
|
y
|
-1
|
1
|
3
|
Clearly, from the above graph solution of above syatam of equations is x = 3 and y = 1.
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