Question
Solve the following systems of equations graphically:
x + y = 3
2x + 5y = 12
✓
Answer
The given equations are:
x + y = 3 ......(i)
2x + 5y = 12 .....(ii)
From (i), y = 3 - x ......(iii)
Puting x = 0 in (iii), we get y = 3
Puting x = 1 in (iii), we get y = 2
Puting x = 2 in (iii), we get y = 1
From (ii), $\text{y}=\frac{12-2\text{x}}{5}\ .......(\text{iv})$
Puting x = -4 in (iv), we get y = 4
Puting x = 1 in (iv), we get y = 2
Puting x = 6 in (iv), we get y = 0
x + y = 3 ......(i)
2x + 5y = 12 .....(ii)
From (i), y = 3 - x ......(iii)
Puting x = 0 in (iii), we get y = 3
Puting x = 1 in (iii), we get y = 2
Puting x = 2 in (iii), we get y = 1
|
x
|
0
|
1
|
2
|
|
y
|
3
|
2
|
1
|
Puting x = -4 in (iv), we get y = 4
Puting x = 1 in (iv), we get y = 2
Puting x = 6 in (iv), we get y = 0
|
x
|
-4
|
1
|
6
|
|
y
|
4
|
2
|
0
|
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