Question

Day 21 (U2)

HOMEWORK
NAME
Mai says that equations A and B have the same solution.
-
C.
DATE
Equation A: 3(x + 7) = 24
- 1
Which statement explains why this is true?
a. Adding 3 to both sides of Equation A gives x + 7 =- 8.
b.
Applying the distributive property to Equation A gives x + 7 =- 8.
Subtracting 3 from both sides of Equation A gives x + 7 =- 8.
Dividing both sides of Equation A by -3 gives x + 7 =- 8.
d.
im
Illustrative
PERIOD
Equation B: x + 7 =- 8

Answer 1

To determine if equations A and B have the same solution, we solve both equations and compare the solutions.

Step-by-step explanation:

The subject of this question is Mathematics and the grade level is Middle School.

To determine if equations A and B have the same solution, we can solve both equations to find the value of x. Let's start with equation A:

3(x + 7) = 24
Expanding the parentheses using the distributive property: 3x + 21 = 24
Subtracting 21 from both sides: 3x = 3
Dividing both sides by 3: x = 1

Now let's solve equation B:

x + 7 = -8
Subtracting 7 from both sides: x = -8 - 7
x = -15

Since the solution to equation A is x = 1 and the solution to equation B is x = -15, we can see that the two equations have different solutions. Therefore, statement d, which says that Mai is incorrect, is the correct explanation.

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