Mathematics
Grade-8
Easy
Question
How many solutions to the given system
y = 5 x + 4 and y = 4 + 5 x
- One solution
- No solution
- Infinitely many solutions
- None of the above
Hint:
A linear system has many (infinite) solutions when the two lines are the same (such as y=x+3 and 2y=2x+6 ).
The correct answer is: Infinitely many solutions
Here, y = 5x + 4 and y = 4 + 5x , both linear equations are same.
Thus, they have infinitely many solutions.
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