Question

How many solutions can be found for the equation 5x + 3(x − 1) = 10x − x − 5? (4 points)

a
No Solution

b
One

c
Two

d
Infinitely many

Answer 1

The correct option is b.

Explanation:

To find the number of solutions, we need to solve the equation:

`5x + 3(x - 1) = 10x - x - 5`

Let's group all the "x" on the equation.

`5x + 3x - 10x + x = 3 - 5`

Now, let's solve for "x".

`-x = -2`

`x = 2`

Therefore, the equation has one solution. The correct option is b.

I hope it helps you!