Question
Solve the following simultaneous equation graphically.
3x – y = 2; 2x – y = 3
3x – y = 2; 2x – y = 3
✓
Answer
The given simultaneous equations are
$3 x-y=2$
$\therefore \quad y=3 x-2$
$2 x-y=3$
$\therefore \quad y=2 x-3$
The two lines intersect at point (1, 2.5).
∴ x = 2 and y = 4 is the solution of the simultaneous equations 3x – y – 2 = 0 and 2x + y = 8.
$3 x-y=2$
$\therefore \quad y=3 x-2$
| x | 0 | 1 | -1 | 2 |
| y | -2 | 1 | -5 | 4 |
| (x, y) | (0, -2) | (1, 1) | (-1, -5) | (2, 4) |
$\therefore \quad y=2 x-3$
| x | 0 | 1 | 2 | 3 |
| y | -3 | -1 | 1 | 3 |
| (x, y) | (0, -3) | (1, -1) | (2, 1) | (3, 3) |
The two lines intersect at point (1, 2.5).
∴ x = 2 and y = 4 is the solution of the simultaneous equations 3x – y – 2 = 0 and 2x + y = 8.
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