Question
Solve the following simultaneous equation graphically.
3x – 4y = –7; 5x – 2y = 0
3x – 4y = –7; 5x – 2y = 0
✓
Answer
The given simultaneous equations are
$3 x-4 y=-7$
$\therefore \quad 4 y=3 x+7$
$\therefore \quad y=\frac{3 x+7}{4}$
| x | -1 | -5 | 3 | 5 |
| y | 1 | -2 | 7 | -5. 5 |
| (x, y) | (-1, 1) | (5, -2) | (3, 4) | (5, 5.5) |
$\therefore \quad 2 y=5 x$
$\therefore \quad y=\frac{5}{2} x$
| x | 0 | 2 | -2 | 1 |
| y | 0 | 5 | -5 | 2 |
| (x, y) | (0, 0) | (2, 5) | (-2 -5) | (11, 02) |
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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