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.
Tom's reasoning is incorrect. To solve the equation 10x + 15 = 20, the correct steps would be to first subtract 15 from both sides of the equation, then divide both sides by 10.
Tom's solution is not correct. The reason behind his incorrect solution is that he did not follow the correct steps to solve the equation.
The correct steps to solve the equation 10x+15=20 are:
1. Start by subtracting 15 from both sides of the equation: 10x+15-15=20-15
This simplifies to: 10x=5
2. Then, divide both sides of the equation by 10: 10x/10=5/10
This simplifies to: x=0.5 or 1/2
Therefore, the correct reason for Tom's incorrect solution is "Tom says that to solve the equation you first subtract 15 and then divide by 10."
The correct reason that justifies Tom's solution is:
Tom says that to solve the equation you first subtract 15 and then divide by 10.