Question

Tell whether the following equation has one, zero, or infinitely many solutions. 2(4x + 10) = 8x + 20. Group of answer choices:

A) Infinitely many solutions

B) One solution

C) Zero solutions

Answer 1

Answer:

The equation will have infinitely many solutions.

Option A is correct

Step-by-step explanation:

We need to tell if the equation $2(4x + 10) = 8x + 20$ has one, zero, or infinitely many solutions.

First we solve the equation to find the value of x

$2(4x + 10) = 8x + 20$

First multiply 2 with terms inside the bracket

$8x+20=8x+20$

Now Subtract 20 from both sides

$8x+20-20=8x+20-20$

$8x=8x\\0=0$

So, the equation will be true for all values of x

As after solving the equation we get 0=0 so, the equation will have infinitely many solutions.

Option A is correct