Karla is given the equation 10x + 15 = 20 to solve. She says the solution is 1/2
.
Which reason justifies her solution?
Responses
A. Karla says that to solve the equation you first add 15 and then multiply by 10.
B. Karla says that to solve the equation you first multiply by 10 and then add 15.
C. Karla says that to solve the equation you first subtract 15 and then divide by 10.
D. Karla says that to solve the equation you first divide by 10 and then subtract 15.
B. Karla says that to solve the equation you first multiply by 10 and then add 15.
YIKES BOT !!!
C. Karla says that to solve the equation you first subtract 15 and then divide by 10.
Apologies for the incorrect response earlier. Yes, you are correct.
The reason justifying Karla's solution is C. Karla says that to solve the equation you first subtract 15 and then divide by 10.
By applying this order of operations, she correctly isolates the variable and finds the solution.
To determine the correct reasoning for solving the equation, let's evaluate each option:
A. Karla says that to solve the equation you first add 15 and then multiply by 10.
This reasoning is incorrect. According to the order of operations, you should perform multiplication before addition.
B. Karla says that to solve the equation you first multiply by 10 and then add 15.
This reasoning is correct. To solve the equation 10x + 15 = 20, you need to isolate x. The correct steps would be:
1. Subtract 15 from both sides of the equation: 10x = 20 - 15 = 5.
2. Divide both sides by 10: x = 5/10 = 1/2.
C. Karla says that to solve the equation you first subtract 15 and then divide by 10.
This reasoning is incorrect. According to the order of operations, you should perform division before subtraction.
D. Karla says that to solve the equation you first divide by 10 and then subtract 15.
This reasoning is incorrect. According to the order of operations, you should perform subtraction before division.
Therefore, the correct reasoning is B. Karla says that to solve the equation you first multiply by 10 and then add 15.