Question

Walter's steps and reasoning for solving an equation are shown below: Given: three halves times x plus ten equals forty Steps Reasons 1. three halves times x plus ten equals forty 1. Given 2. three halves times x plus ten minus ten equals forty minus ten 2. Addition Property of Equality 3. three halves times x equals thirty 3. Simplify 4. three halves times x times two thirds equals thirty times two thirds 4. Multiplication Property of Equality 5. x = 20 5. Simplify Choose which reason is incorrect. Reason 1 Reason 2 Reason 3 Reason 4

Answer 1

Answer:

From Walter's steps we have that Step2: Reason 2 is incorrect.

The correct reason is Subtraction property of equality (we are using this property only not addition property of equality )

Step-by-step explanation:

Given equation is three halves times x plus ten equals forty

It can be written as below

$\frac{3}{2}x+10=40$

To solve the given equation :

Step1 Reason1 : $\frac{3}{2}x+10=40$

Step2 Reason2: Subtracting 10 on both sides of the above equation we get

$\frac{3}{2}x+10-10=40-10$ which is Subtraction property of equality

Step3 Reason3: $\frac{3}{2}x=30$

Step4 Reason4: Multiply the above equation into $\frac{2}{3}$ on both sides we get

$\frac{3}{2}x\times \frac{2}{3}=30\times \frac{2}{3}$

which is the Multiplication Property of Equality

Step5 Reason5: Simplify the above equation we get

 $x= \frac{60}{3}$

Therefore x=20

From Walter's steps we have that Step2: Reason 2 is incorrect.

The correct reason is Subtraction property of equality (we are using this property only not addition property of equality )