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How do you solve #4(2a-8)=1/7(49a+70)#?

Answer 1

Eli Assouline

#a=42#

L.S. #=4(2a-8) = 8a-32# R.S. #=1/7(49a+70) = 7a+10#

L.S. # = #R.S. #rarr8a-32=7a+10#

#rarrcolor(white)("XX")a=42#

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Answer 2

Julia Adams

To solve the equation 4(2a-8) = 1/7(49a+70), follow these steps:

Distribute the 4 and the 1/7 to each term inside the parentheses: 8a - 32 = 7a + 10
Combine like terms by moving the variable terms to one side and the constant terms to the other side: 8a - 7a = 10 + 32
Simplify: a = 42

Thus, the solution to the equation is a = 42.

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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.