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