Mathematics, 05.01.2020 02:31 kountryboye25

Need asap!

can someone (step-by-step) show me how to solve this absolute value equation? i'm having trouble understanding it.

|5y - 2| = |4y + 7|

Answers: 2

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Answers

Simplifying
5y + -2 = 4y + 7

Reorder the terms:
-2 + 5y = 4y + 7

Reorder the terms:
-2 + 5y = 7 + 4y

Solving
-2 + 5y = 7 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
-2 + 5y + -4y = 7 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-2 + 1y = 7 + 4y + -4y

Combine like terms: 4y + -4y = 0
-2 + 1y = 7 + 0
-2 + 1y = 7

Add '2' to each side of the equation.
-2 + 2 + 1y = 7 + 2

Combine like terms: -2 + 2 = 0
0 + 1y = 7 + 2
1y = 7 + 2

Combine like terms: 7 + 2 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9

Answer from: amanditafarinap3bw7g

Int this problem you will have 3 equations since BOTH expressions are inside absolute values they can be equal IF they are both negative, both positive or one of each.
Setup as follows
5y - 2 = 4y + 7 5y - 2 = -(4y + 7) -(5y - 2) = 4y + 7
5y = 4y + 9    5y - 2 = -4y - 7 -5y + 2 = 4y + 7
y = 9    5y = -4y - 5    -5y = 4y + 5
   9y = -5 -9y = 5
   y = -5/9 y = -5/9

We just have 2 solutions (since one repeated) of y = 9 and -5/9

Answer from: Quest

ruth is 6 years old

step-by-step explanation:

6 + 24 = 30, so 6/30 = .2

if you do 1/5 it also equals .2, so that is the answer.

Answer from: Quest

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100 * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

= $25.99 - $6.49

=$19.5

total amount to be paid = $19.5

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can someone (step-by-step) show me how to solve this absolute value equati...