to solve x+11=23,Jasmine subtracted 11 from both sides of the equation. which property justifies this step?
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Answer:
C. Subtraction property of equality.
Step-by-step explanation:
By Commutative property of addition,
a + b = b + a Where a and b are any numbers,
By Addition property of equality,
a = b ⇒ a + c = b + c Where s, b and c are any number,
By Subtraction property of equality,
a = b ⇒ a - c = b - c Where s, b and c are any number,
By Associative property of addition,
a + ( b + c ) = (a + b ) + c,
Here, the given equation,
x + 11 = 23,
Her step is x + 11 - 11 = 23 - 11
Hence, by the above explanation it is clear that,
Her step justified Subtraction property of equality.
Option C is correct.