Question

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

Answer 1

Answer:

C

Step-by-step explanation:

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

No solution

Answer 2

Answer:

C

Step-by-step explanation:

We have the equation:

$8(4-2x)=4(3-5x)+4x$

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

$32-16x=4(3-5x)+4x$

Distribute on the right:

$32-16x=12-20x+4x$

Combine like terms on the right:

$32-16x=12-16x$

Add 16x to both sides:

$32\neq12$

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