Question
Solve graphically the following system of linear equation. Also find the coordinates of the points where the lines meet axis of y.
x + 2y - 7 = 0,
2x - y - 4 = 0.
✓
Answer
We have,
x + 2y - 7 = 0
Now, 2x - y - 4 = 0
x + 2y - 7 = 0
x = 7 - 2y
when, y = 1, x = 5
y = 2, x = 3
Also, 2x - y - 4 = 0
y = 2x - 4
From the graph, the solution is A(3, 2).
Also, the coordinates of the points where the lines meet the y-axis are B(0, 3, 5) and C(0, -4).
x + 2y - 7 = 0
Now, 2x - y - 4 = 0
x + 2y - 7 = 0
x = 7 - 2y
when, y = 1, x = 5
y = 2, x = 3
|
x
|
5
|
3
|
|
y
|
1
|
2
|
y = 2x - 4
|
x
|
2
|
0
|
|
y
|
0
|
-4
|
From the graph, the solution is A(3, 2).
Also, the coordinates of the points where the lines meet the y-axis are B(0, 3, 5) and C(0, -4).
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