Question
Solve graphically the following system of linear equation. Also find the coordinates of the points where the lines meet axis of y.
3x + y - 5 = 0,
2x - y - 5 = 0.
✓
Answer
The given equations are
3x + y - 5 = 0 ........(i)
2x - y - 5 = 0 ...........(ii)
From (i), y = 5 - 3x ........(iii)
Putting x = 0 in (iii), we get y = 5
Putting x = 1 in (iii), we get y = 2
Putting x = 2 in (iii), we get y = -1
From (ii), y = 2x - 5 ......(iv)
Putting x = 0 in (iv), we get y = -5
Putting x = 1 in (iv), we get y = -3
Putting x = 2 in (iv), we get y = -1
When we solve yhese equations x = 2 and y = -1 this is the point where these lines intersect each other. (0, 5) and (0, -5) are the points where lines meeet axis of y.
3x + y - 5 = 0 ........(i)
2x - y - 5 = 0 ...........(ii)
From (i), y = 5 - 3x ........(iii)
Putting x = 0 in (iii), we get y = 5
Putting x = 1 in (iii), we get y = 2
Putting x = 2 in (iii), we get y = -1
|
x
|
0
|
1
|
2
|
|
y
|
5
|
2
|
-1
|
Putting x = 0 in (iv), we get y = -5
Putting x = 1 in (iv), we get y = -3
Putting x = 2 in (iv), we get y = -1
|
x
|
0
|
1
|
2
|
|
y
|
-5
|
-3
|
-1
|
When we solve yhese equations x = 2 and y = -1 this is the point where these lines intersect each other. (0, 5) and (0, -5) are the points where lines meeet axis of y.
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