Gwendolyn is asked to solve the equation –4(x – 3) = 20. She shows the work below and states that the solution is x = –8. –4(x –

Question

2 years ago

7

Gwendolyn is asked to solve the equation –4(x – 3) = 20. She shows the work below and states that the solution is x = –8. –4(x –

3) = 20 –4x + 12 = 20 –4x = 32 x = –8 Unfortunately, Gwendolyn's work is flawed. Explain the flaw in Gwendolyn's work. Determine the correct solution to the equation.

Mathematics

2 answers:

Zinaida [17] · Answer 1 · 2022-06-21T03:06:47+03:00

Zinaida [17]2 years ago

8 0

Answer:

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Step-by-step explanation:

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____ [38] · Answer 2 · 2022-06-21T00:54:10+03:00

Answer:

$x=-2$

Step-by-step explanation:

Given: Equation is $-4(x-3)=20$

To find: flaw in Gwendolyn's work and the correct solution to the equation.

Solution:

In the given question,

the first step is $-4(x-3)=20$

The second step is $-4x+12=20$

(This step is obtained on multiplying $-4$ by $x-3$ )

The third step is $-4x=32$

This step is wrong as on transposing 12 from left side of the equation in the second step to the right side, the following equation is obtained:

$-4x=20-12\\-4x=8\\x=-2$

So, the correct solution is $x=-2$