MCQ
The linear equation $2x + 3y = 6$ has:
- ✓Infinitely many solutions.
- BTwo solutions.
- CA unique solution.
- DThree solutions.
✓
Answer
Correct option: A.
Infinitely many solutions.
$2x + 3y = 62x = 6 - 3y$
$\text{x}=\frac{6-3\text{y}}{2}$
This table continues for infinite terms for different values of $x$ and $y$. So for infinite value of $y$ we have infinite value of $x.$
Therefore, this equation has Infinitely many solutions.
$\text{x}=\frac{6-3\text{y}}{2}$
|
$x$
|
$0$
|
$3232$
|
$3$
|
|
$y$
|
$2$
|
$1$
|
$0$
|
Therefore, this equation has Infinitely many solutions.
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