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How do you solve #49=7(y-7)#?

Answer 1

Follow the order of operations represented by PEMDAS.

#49=7(y-7)#

Observe the sequence in which the operations are represented by PEMDAS: addition and subtraction, multiplication and division, parentheses, and exponents.

The term inside the parentheses cannot be simplified further. There are no exponents. Divide both sides by #7#.

#49=7(y-7)# =

#cancel49^7/cancel7^1=y-7# =

#7=y-7#

Add #7# to both sides.

#14=y#

Flip the equation so #y# is on the left side.

#y=14#

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Answer 2

Abigail Allen

To solve the equation 49 = 7(y - 7), first distribute 7 across the parentheses, then isolate the variable y by undoing the operations.

49 = 7y - 49
98 = 7y
y = 98/7
y = 14

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.