Which of the following statements correctly illustrate the addition property of equality? Check all of the boxes that apply. If a = b, then a + c = b + c. If x = y, then x + 2 = y- 2. If w + 2 = 7, then w + 2-2 = 7- 2.
Answers
Answer:
A and C
Step-by-step explanation:
If a = b, then a + c = b + c.
If w + 2 = 7, then w + 2-2 = 7- 2.
The statements If a = b, then a + c = b + c and If w + 2 = 7, then w + 2-2 = 7- 2 are correctly illustrate the addition property of equality
To Find:
The statement correctly illustrates the addition property of equality.
Solution:
1) a + c = b+ c
put a = b
b + c = b + c
0 = 0
Here, LHS = RHS
∴ It illustrates the addition property of equality.
2) x + 2 = y- 2
put x = y
y + 2 = y -2
2 ≠ -2
Here, LHS ≠ RHS
∴ It doesn't illustrate the addition property of equality.
3) w + 2-2 = 7- 2.
put w + 2 = 7
7-2 = 7 -2
5 = 5
Here, LHS = RHS
∴ It illustrates the addition property of equality.
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