Question
Solve the following simultaneous equation graphically.
3x – y – 2 = 0; 2x + y = 8
3x – y – 2 = 0; 2x + y = 8
✓
Answer
The given simultaneous equations are
$3 x-y-2=0$
$\therefore \quad y=3 x-2$
$2 x+y=8$
$\therefore \quad y=8-2 x$
The two lines intersect at point (2, 4).
∴ x = 2 and y = 4 is the solution of the simultaneous equations 3x – y – 2 = 0 and 2x + y = 8.
$3 x-y-2=0$
$\therefore \quad y=3 x-2$
| x | 0 | 1 | 3 | -1 |
| y | -2 | 1 | 7 | -5 |
| (x, y) | (0, -2) | (1, 1) | (3, 7) | (-1, -5) |
$2 x+y=8$
$\therefore \quad y=8-2 x$
| x | 0 | 4 | 1 | 3 |
| y | 8 | 0 | 6 | 2 |
| (x, y) | (0, 8) | (4, 0) | (1, 6) | (3, 2) |
The two lines intersect at point (2, 4).
∴ x = 2 and y = 4 is the solution of the simultaneous equations 3x – y – 2 = 0 and 2x + y = 8.
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