Tom is given the equation 10x+15=20

to solve. He says the solution is 1/2
. 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 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 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 add 15 and then divide by 10.

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

1 answer

To solve the equation \( 10x + 15 = 20 \), we first subtract 15 from both sides, which gives us:

\[ 10x = 20 - 15 \] \[ 10x = 5 \]

Next, we divide both sides by 10:

\[ x = \frac{5}{10} = \frac{1}{2} \]

So, Tom's solution \( x = \frac{1}{2} \) is correct.

The reasoning that justifies his solution is:

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