contestada

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.

Respuesta :

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Given: Equation is [tex]-4(x-3)=20[/tex]

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

Solution:

In the given question,

the first step is [tex]-4(x-3)=20[/tex]

The second step is [tex]-4x+12=20[/tex]

(This step is obtained on multiplying [tex]-4[/tex] by [tex]x-3[/tex])

The third step is [tex]-4x=32[/tex]

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:

[tex]-4x=20-12\\-4x=8\\x=-2[/tex]

So, the correct solution is [tex]x=-2[/tex]

Answer:

f  bfgdbffb

Step-by-step explanation:

vbfDBVDFBDzdfzdf

Otras preguntas