Question

Susan says that a solution to the equation x + 5 = 15 must also be a solution to the equation 2(x+1) = 22 write an explanation why this is true

Answer 1

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Answer:

each equation can be transformed to the other

Explanation:

Starting with the given equation, we can subtract 4, then multiply by 2:

x + 5 = 15

x + 5 - 4 = 15 - 4

x + 1 = 11

2(x + 1) = 2(11)

2(x +1) = 22 . . . an equivalent equation

The properties of equality allow one equation to be transformed into the other.