How many solutions exist for the equation: 8(4-2x)=4(3-5x)+4x

A) Two solutions
B) One solution
C) No solution
D) Many solutions

Respuesta :

Answer:

C

Step-by-step explanation:

We have the equation:

[tex]8(4-2x)=4(3-5x)+4x[/tex]

Let's expand both sides. Distribute on the left:

[tex]32-16x=4(3-5x)+4x[/tex]

Distribute on the right:

[tex]32-16x=12-20x+4x[/tex]

Combine like terms on the right:

[tex]32-16x=12-16x[/tex]

Add 16x to both sides:

[tex]32\neq12[/tex]

This is not true.

So, our equation has no solutions.

This would mean that our two linear equations are parallel to each other.

Our answer is C

Answer:

C

Step-by-step explanation:

There are no values of  x  that make the equation true.

No solution

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