Sasha solved an equation, as shown below:


Step 1: 8x = 56

Step 2: x = 56 – 8

Step 3: x = 48


Part A: Is Sasha's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)

Verified Answer :

Answer:

Sasha's solution is incorrect. To find x, we would divide both sides by 8 so,

8 / 8x = 8 / 56

x = 7

there are infinite solutions to this equation!

Good luck on your test :D!

The correct answer is x = 7

We have a equation solved by a girl named Sasha. The equation is -

8x = 56

We have to find out whether the steps involved in solving the equation are correct or not.

For what value of x the equation -  Ax = B is true?

For x = \(\frac{B}{A}\) , the equation Ax = B is true.

We can use the similar process for the verification of Sasha's solution. The following are the steps of the solution according to Sasha -

Step 1:  8x = 56

Step 2:  x = 56 – 8

Step 3:  x = 48

It can be seen that she made a mistake in step number 2 (bolded). As discussed above, for the equation of the form -  Ax = B, the value of x will be -  x = \(\frac{B}{A}\).

The correct steps are as follows -

Step 1:  8x = 56

Step 2:  x = \(\frac{56}{8}\)

Step 2:  x = 7

Hence, x = 7 is the correct answer.

To solve more questions on finding the unknown variable, visit the following link -

https://brainly.com/question/10758203

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