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

Question

asked Jan 15, 2021 29.4k views

2 Answers

Corban Brook · Answer 1 · 2021-01-20T06:47:32+0000

Answer:

C

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:

$32\\eq12$

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