Question

How many solutions does the following equation have?

Answer 1

Answer:

Option B) Exactly one solution is correct.

That is the solution to the given equation is $x=-\frac{7}{2}$

Step-by-step explanation:

Given equation is 5x+8-7x=-4x+1

Now to find the solution of the given equation

First we have to solve it

5x+8-7x=-4x+1

-2x+8=-4x+1 (adding the like terms)

Bringing all the terms to one side so that the signs may vary

-2x+8+4x-1=0

2x+7=0 (adding the like terms)

2x=-7

$x=\frac{-7}{2}$

$x=-\frac{7}{2}$

Therefore it has exactly one solution.

Therefore the given equation has exactly one solution  

That is the solution to the given equation is $x=-\frac{7}{2}$

Therefore Option B) Exactly one solution is correct.