Respuesta :

S1NGH

Answer:

C)infinitely many solutions

Step-by-step explanation:

[tex]5x+8-7x=-4x+1\\-2x+8=-4x+1\\2x+8=1\\2x=-7\\x=-3.5[/tex]

The equation 5x+8-7x=-4x+1 has exactly one solution

Option B is correct

The given equation is:

5x  +  8  -  7x   =  -4x  +  1

Simplify both sides of the equation

5x  -  7x  +  8  =  -4x  +  1

-2x   +  8   =  -4x  +  1

Collect like terms

-2x  +  4x  =  1  -  8

2x  =   -7

Divide both sides by 2

[tex]\frac{2x}{2} =\frac{-7}{2} \\\\x=-3.5[/tex]

As seen above, the equation has exactly one solution

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