Tom is given the equation 10x+15=20 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 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.
Tom says that to solve the equation you first subtract 15 and then divide by 10.
The reason that justifies Tom's solution is:
Tom says that to solve the equation you first subtract 15 and then divide by 10.
Tom says that to solve the equation you first subtract 15 and then divide by 10.
To explain how Tom arrived at this solution, we can follow the steps:
Step 1: Start with the equation 10x + 15 = 20.
Step 2: Subtract 15 from both sides of the equation: 10x + 15 - 15 = 20 - 15.
Step 3: Simplify: 10x = 5.
Step 4: Divide both sides of the equation by 10 to isolate x: (10x)/10 = 5/10.
Step 5: Simplify: x = 1/2.
So, Tom's justification is correct. He correctly subtracted 15 from both sides and then divided by 10 to solve the equation. Therefore, his solution of x = 1/2 is valid.