Tom is given the equation 10x+15=20
10
+
15
=
20
to solve. He says the solution is 12
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 says that to solve the equation you first subtract 15 and then divide by 10.
The reason that justifies Tom's solution is that he says 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. This is because to isolate the variable x, you need to undo the operations being done to it in the equation. So, you first subtract 15 from both sides to get 10x = 5, and then divide by 10 to find x = 1/2.
Tom's solution of subtracting 15 and then dividing by 10 is correct. To solve this equation 10x + 15 = 20, you want to isolate the variable x.
First, you subtract 15 from both sides of the equation:
10x + 15 - 15 = 20 - 15
This simplifies to:
10x = 5
Then, to get the value of x, you divide both sides of the equation by 10:
10x/10 = 5/10
This simplifies to:
x = 1/2 or 0.5
Therefore, Tom's solution of x = 1/2 or 0.5 is correct.