Question

Sanjay uses the steps below to solve the equation 4 p + two-fifths (10 + 2 p) = 8. Step 1 Multiply both sides of the equation by Five-halves. 4 p + 10 + 2 p = 20 Step 2 Simplify like terms. 6 p + 10 = 20 Step 3 Subtract 10 on both sides of the equation. 6 p = 10 Step 4 Divide both sides of the equation by 6. p = StartFraction 10 over 6 EndFraction = Five-thirds = 1 and two-thirds Which is the first error that Sanjay made when finding the solution? In step 1, he multiplied by Five-halves instead of by Two-fifths. In step 1, he did not multiply 4p by Five-halves when multiplying both sides by Five-halves. In step 3, he should have added 10 to both sides of the equation instead of subtracting 10. In step 3, he should have divided both sides by 6 instead of subtracting 10.

Answer 1

Answer:

2

Step-by-step explanation:

2

Answer 2

In step 1, he did not multiply 4p by Five-halves when multiplying both sides by Five-halves.

Step-by-step explanation:

Given the equation as;

$4p+\frac{2}{5} (10+2p)=8$

Multiplying both sides of the equation by five-halves

$\frac{5}{2} *4p+\frac{2}{5} *\frac{5}{2} (10+2p)=8*\frac{5}{2}$

Collect like terms

10p +10 +2p =20

10p+2p=20-10

12p=10

Divide both sides by 12 to remain with p

12p/12 =10/12

p=10/12 = 5/6

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Performing fraction division:brainly.com/question/2261275

Keywords :equation, solve, simplify terms, subtract, divide, error

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