Question

Kiran says that a solution to the equation x+4=20 must also be a solution to the equation 5(x+4)=100 Write a convincing explanation as to why this is true

Answer 1

This is true because if you solve both problems they have the same solution and if you plug them in you get the correct answer

Step-by-step explanation: The First explanation is wrong because you do not get x+4 using PEMDAS because you solve what is in parentheses first when using PEMDAS therefore the first explanation would be incorrect.

X+4=20: 20-4=16x1=16 (there is always an invisible one in front of the variable)

5(x+4)=100: multiply 5 times x and 4 since x and 4 are in parentheses so... 5x+20=100(not X+4=20) 100-20=80

5x/5=1x

80/5=16

16x1=16

Answer 2

x+4=20 is a solution to 5(x+4)=100.

Explanation:

Following PEMDAS, divide 5 from both sides of the equation 5(x+4)=100, and you have x+4=20 remaining.

This means that both equations have the same solution.