Tom is given the equation 10x+15=20 to solve. He says the solution is 1 over 2. Which reason justifies his solution?
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.
The correct reason for Tom's solution is: Tom says that to solve the equation you first subtract 15 and then divide by 10.
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Tom says that to solve the equation 10x+15=20, you first subtract 15 and then divide by 10.
To solve the equation 10x + 15 = 20, we need to isolate the variable x.
Tom's reasoning is as follows:
1. Divide by 10 and then subtract 15.
However, this reasoning is incorrect. To solve the equation, we need to work in the opposite order:
1. Subtract 15 from both sides of the equation to get: 10x = 20 - 15, which simplifies to 10x = 5.
2. Then, divide both sides of the equation by 10 to solve for x: x = 5 / 10.
So, the correct reasoning to solve the equation is to first subtract 15 and then divide by 10.