Question

solve the problem below and explain your work

1 over 5 x + 3 = 10

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation 1/(5x + 3) = 10, we can start by isolating the variable x.

First, we can multiply both sides of the equation by (5x + 3) to get rid of the fraction:

(5x + 3) * (1/(5x + 3)) = 10 * (5x + 3)

This simplifies to:

1 = 10 * (5x + 3)

Next, we can distribute the 10 on the right side of the equation:

1 = 50x + 30

Now, let's isolate the x term by subtracting 30 from both sides:

1 - 30 = 50x + 30 - 30

-29 = 50x

Finally, we divide both sides by 50 to solve for x:

-29/50 = 50x/50

Simplifying further:

-29/50 = x

So the solution to the equation is x = -29/50.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the equation 1/(5x + 3) = 10, we will follow the steps below:

Step 1: Clear the fraction by multiplying both sides of the equation by (5x + 3):
(5x + 3) * (1/(5x + 3)) = 10 * (5x + 3)

This simplifies to:
1 = 50x + 30

Step 2: Subtract 30 from both sides of the equation:
1 - 30 = 50x + 30 - 30

This simplifies to:
-29 = 50x

Step 3: Divide both sides of the equation by 50:
-29/50 = (50x)/50

This simplifies to:
-29/50 = x

So, the solution to the equation 1/(5x + 3) = 10 is x = -29/50.