Answer:
Option (d) is correct.
The equation 5x + 3(x − 1) = 10x − 2x − 3 will have infinite many solution.
Explanation:
Given : the equation 5x + 3(x − 1) = 10x − 2x − 3
We have to find the number of solution to the equation 5x + 3(x − 1) = 10x − 2x − 3
Consider the given equation 5x + 3(x − 1) = 10x − 2x − 3
This can be written as two equations as
y=5x + 3(x-1) .........(1)
and y = 10x − 2x − 3 ......(2)
Simplify, both the equations,
y=5x + 3x - 3 = 8x - 3
and y = 10x − 2x − 3 = 8x -3
Since, both equations are same.
So, the graph of both equation will overlap each other.
Hence, the equation 5x + 3(x − 1) = 10x − 2x − 3 will have infinite many solution.