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
[tex]\frac{3}{2}x+10=40[/tex]
To solve the given equation :
Step1 Reason1 : [tex]\frac{3}{2}x+10=40[/tex]
Step2 Reason2: Subtracting 10 on both sides of the above equation we get
[tex]\frac{3}{2}x+10-10=40-10[/tex] which is Subtraction property of equality
Step3 Reason3: [tex]\frac{3}{2}x=30[/tex]
Step4 Reason4: Multiply the above equation into [tex]\frac{2}{3}[/tex] on both sides we get
[tex]\frac{3}{2}x\times \frac{2}{3}=30\times \frac{2}{3}[/tex]
which is the Multiplication Property of Equality
Step5 Reason5: Simplify the above equation we get
[tex]x= \frac{60}{3}[/tex]
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 )
