Question

How do you know that a =6 is a solution to a+5=11?

Answer 1

a + 5 = 11

You need to isolate the variable by subtracting from both sides

a + 5 - 5 = 11 - 5a = 6

The Addition/Subtraction Property of Equality states that if you add or subtract the same number to both sides of an equation the two sides still remain equal.

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Answer 2

We are given this equation a+5=11

here 5 is in addition on the left side

so in order to eliminate it , we perform opposite operation of addition on the right side.

opposite operation of addition is subtraction.

so subtracting 5 on the right side , we get

a=11-5

a=6

so this is how a=6 is the answer