Tom is given the equation 10x+15=20

Question

to solve. He says the solution is 12
. Which reason justifies his solution?(1 point)
Responses

Tom says that to solve the equation you first divide by 10 and then subtract 15.

Tom says that to solve the equation you first subtract 15 and then multiply by 10.

Tom says that to solve the equation you first add 15 and then divide by 10.

Tom says that to solve the equation you first subtract 15 and then divide by 10.

Answer 1

To solve the equation \(10x + 15 = 20\), the correct steps are as follows:

1. Subtract 15 from both sides of the equation: \[ 10x = 20 - 15 \] This simplifies to: \[ 10x = 5 \]

2. Then, divide by 10: \[ x = \frac{5}{10} = \frac{1}{2} = 0.5 \]

Tom's suggested solution of 12 is incorrect. The correct answer results in \(x = 0.5\).

However, looking at the provided options, the reasoning that aligns closest with the correct method of solving is:

Tom says that to solve the equation you first subtract 15 and then divide by 10.

This reflects the correct step-by-step process leading to the actual solution of the equation.