MCQ
The equation 3x + 4y = 7 has a unique solution, if x and y are:
- AReal numbers.
- BNatural numbers.
- CRational numbers.
- DPositive real numbers.
✓
Answer
- Natural numbers.
Solution:
3x + 4y = 7
3x = 7 - 4y
$\text{x} = 7−\frac{4\text{y}}{3}$
The equation will have a unique solution only if x and y are natural numbers with only one value which is,
For y = 1.
$\text{x} = 7−\frac{4.1}{3}$
$\text{x} = 7−\frac{4}{3}$
$\text{x} = \frac{3}{3} = 1$
x = 1
I.e., x = 1, y = 1 will be unique value for this equation.
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