Question

WILL MARK BRAINLEIST PLEASE HURRY

Answer 1

Answer:

The reason which is incorrect is in Step 2 and reason 2

Step-by-step explanation:

Given that Logan's equation is $\frac{3}{2}\times (x-10)=50$

To simplify and find the which reason is incorrect :

Logan's solution and reasoning for solving an equation are shown below:

Step1 $\frac{3}{2}\times (x-10)=50$

Reason 1: Given

Step2 $\frac{3}{2}\times x-10+10=50+10$

Reason 2: Addition Property of Equality

Step3 $\frac{3}{2}\times x=60$

Reason 3: Simplify

Step4 $\frac{3}{2}\times x \times (\frac{2}{3})=60\times (\frac{2}{3})$

Reason 4: Division Property of Equality

Step5 $x=40$

Reason 5: Simplify

The reason which is incorrect is in Step 2 and reason 2

The corrected steps are

Step1 $\frac{3}{2}\times (x-10)=50$

Reason 1: Given

Step2 $\frac{3}{2}\times (x)-\frac{3}{2}\times (10)=50$

Reason 2: Distributive property

Step3 $\frac{3}{2}\times x-15=60$

Reason 3: Simplify

Step4 $\frac{3}{2}\times x-15+15=50+15$

Reason 4: Addition Property of Equality

Step5 $\frac{3}{2}\times x=65$

Reason 5: Simplify

Step6 $\frac{3}{2}\times x \times (\frac{2}{3})=65\times (\frac{2}{3})$

Reason 6: Division Property of Equality

Step7 $x=\frac{130}{3}$

Reason 7: Simplify