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Question
Solve graphically
3x + 2y = 4, 9x + 6y – 12 = 0
Solution
2y = – 3x + 4
y = `(- 3x + 4)/2`
= `(-3)/2x + 2`
| x | −2 | 0 | 2 |
| y | 5 | 2 | −1 |
Plot the points (– 2, 5), (0, 2) and (2, –1) in the graph sheet
9x + 6y = 12 ..........(÷3)
3x + 2y = 4
2y = `(-3x + 4)/2`
= `(-3)/2x + 2`
| x | −2 | 0 | 2 |
| y | 5 | 2 | −1 |
Plot the points (−2, 5), (0, 2) and (2, −1) the same graph sheet
Here both the equations are identical but in different form.
Their solution is the same.
These equations have an infinite number of solutions.
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