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Naya [18.7K]
3 years ago
9

WILL MARK BRAINLEIST PLEASE HURRY

Mathematics
1 answer:
Marina86 [1]3 years ago
5 0

Answer:

<h3>The reason which is incorrect is in Step 2 and reason 2</h3>

Step-by-step explanation:

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

<h3>To simplify and find the which reason is incorrect :</h3>

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

<h3>The reason which is incorrect is in Step 2 and reason 2</h3><h3>The corrected steps are</h3>

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

<h3 />
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