How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3?

none
one
two
infinitely many

Option (d) is correct.

The equation 5x + 3(x − 1) = 10x − 2x − 3 will have infinite many solution.

Step-by-step 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.

a² + b²= c²

24² + 7² = c²

c= 25