MCQ
The linear equation $3x - 5y = 15$ has:
- AA unique solution.
- BTwo solutions.
- ✓Infinitely many solutions.
- DNo solution.
✓
Answer
Correct option: C.
Infinitely many solutions.
The linear equation $3x - 5y = 15$ has infinitely many solutions since any every point on this line will be a solution of this equation.
For different values of $x$, we will get get the corresponding different values of $y$.
Since $x$ can take infinitely many values, $y$ will also have infinite values.
Hence, the line will have infinitely many solutions.
For different values of $x$, we will get get the corresponding different values of $y$.
Since $x$ can take infinitely many values, $y$ will also have infinite values.
Hence, the line will have infinitely many solutions.
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