Question

How many solutions does the following equation have?

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

Choose 1 answer:

A No solutions
B Exactly one solution
C Infinitely many solutions

Answer 1

c

Explanation:

khan

Answer 2

Option B) Exactly one solution is correct.

That is the solution to the given equation is
`x=-(7)/(2)`

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=(-7)/(2)`

`x=-(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=-(7)/(2)`

Therefore Option B) Exactly one solution is correct.