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.

Step-by-step explanation:

Given: Equation is

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

Solution:

In the given question,

the first step is

The second step is

(This step is obtained on multiplying by )

The third step is

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:

So, the correct solution is

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

7 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation: