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