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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)

Part B: How many solutions does this equation have? (4 points)

I know part A, but what about Part B?

Sagot :

Part A: Sasha's solution of the equation incorrect. The solution x = 7.

Part B: The equation have They are unique solutions.

According to the question,

Sasha solved an equation, as shown below:

Step 1: 8x = 56

Step 2: x = 56 – 8

Step 3: x = 48

Step 2 is incorrect, the correct steps to find x, we would divide both sides by 8 so,

8 / 8x = 8 / 56

x = 7.

An equation can have infinitely many solutions only if  the system of an equation has infinitely many solutions when the two lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line. Then the have infinitely many solutions.

But, the given equation have unique solutions. Thus, x=7.

Hence, Part A: Sasha's solution incorrect. The solution x = 7.

Part B: They are unique solutions solutions.

Learn more about solution of the equation here

https://brainly.com/question/12764572

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