Question

3. Joe solved the equation 3 + x/2 = 10 and justified each step as shown.

Answer 1

Answer:

Joe's answer is justified that his mistake was the property shown to steps 3 and 5 was incorrect but his step3 and step5 are right

That is Step3 : $\frac{x}{2}-7=0$ (by using Multiplication Property of Equality )

Step5 : $x=7\times 2$  (by using Subtraction Property of Equality )

The correct properties in steps are given below

Step3 : $\frac{x}{2}-7=0$ (by using Subtraction Property of Equality )

Step5 : $x=7\times 2$  (by using Multiplication property of Equality )

This steps and the properties used here are correct.

Step-by-step explanation:

Given equation is $3+\frac{x}{2}=10$

Joe solved the equation as below

Step1 : $3+\frac{x}{2}=10$

Step2 : $3+\frac{x}{2}-10=0$

Step3 : $\frac{x}{2}-7=0$ (by using Multiplication Property of Equality )

Step4 : $\frac{x}{2}=7$

Step5 : $x=7\times 2$  (by using Subtraction Property of Equality )

Step6 : Therefore x=14

Joe's answer is justified that his mistake was the property shown to steps3 and 5 was incorrect but his step3 and step5 are right

That is Step3 : $\frac{x}{2}-7=0$ (by using Multiplication Property of Equality )

Step5 : $x=7\times 2$  (by using Subtraction Property of Equality )

The corrected properties in steps are given below

Step3 : $\frac{x}{2}-7=0$ (by using Subtraction Property of Equality )

Step5 : $x=7\times 2$  (by using Multiplication Property of Equality )

This steps and the properties used here are correct