Question

Celia uses the steps below to solve the equation Negative StartFraction 3 over 8 EndFraction (negative 8 minus 16 d) + 2 d = 24. Step 1 Distribute Negative StartFraction 3 over 8 EndFraction over the expression in parentheses. 3 minus 16 d + 2 d = 24 Step 2 Simplify like terms. 3 minus 14 d = 24 Step 3 Subtract 3 from both sides of the equation. Negative 14 d = 21 Step 4 Divide both sides of the equation by –14. D = StartFraction 21 over negative 14 EndFraction = Negative three-halves = negative 1 and one-half Which corrects the error in the step in which Celia made the first error?

Answer 1

Answer:

Celia made the first error in the Step 1

Celia's error in step 1 is  

Distribute Negative Start Fraction 3 over 8 End Fraction over the expression in parentheses. $-\frac{3}{8}(-8)-\frac{3}{8}(-16d)+2d=24$

$3-16d+2d=24$

The corrected step 1 is

By using the distributive property $a(x+y)=ax+ay$  

Step 1 $-\frac{3}{8}(-8)-\frac{3}{8}(-16d)+2d=24$

$3+6d+2d=24$

Step-by-step explanation:

Celia uses the equation is  Negative Start Fraction 3 over 8 End Fraction (negative 8 minus 16 d) + 2 d = 24.

It can be written as

Now Celia uses the steps below to solve the given equation :

$-\frac{3}{8}(-8-16d)+2d=24$

Step 1 Distribute Negative Start Fraction 3 over 8 End Fraction over the expression in parentheses. $-\frac{3}{8}(-8)-\frac{3}{8}(-16d)+2d=24$

       $3-16d+2d=24$

Step 2 Simplify like terms $3-14d=24$

Step 3 Subtract 3 from both sides of the equation $3-14d-3=24-3$

Step 4 $-14d=21$

Step 5 $d=\frac{21}{-14}$

Step 6 $d=-(\frac{-3}{2})$

Step 7 $d=-(1\frac{1}{2})$

The corrected steps are

$-\frac{3}{8}(-8-16d)+2d=24$

By using the distributive property $a(x+y)=ax+ay$  

Step 1 $-\frac{3}{8}(-8)-\frac{3}{8}(-16d)+2d=24$ $3+6d+2d=24$

Step 2 Simplify the like terms  $3+8d=24$

Step 3 Subtract 3 from both sides of the equation $3+8d-3=24-3$

Step 4 $8d=21$

Step 5 $d=\frac{21}{8}$

Step 6 $d=2\frac{5}{8}$  

Celia made the first error in the Step 1 Celia's error in step 1 is  

Distribute Negative Start Fraction 3 over 8 End Fraction over the expression in parentheses. $-\frac{3}{8}(-8)-\frac{3}{8}(-16d)+2d=24$

       $3-16d+2d=24$

The corrected step 1 is

By using the distributive property $a(x+y)=ax+ay$  

Step 1 $-\frac{3}{8}(-8)-\frac{3}{8}(-16d)+2d=24$

$3+6d+2d=24$

Answer 2

Answer:

The answer is B

pls mark brainlliest