149k views
0 votes
Just one more What is 35 = 5 |x+6|-10

User Rusmir
by
7.7k points

2 Answers

6 votes
35 = 5 | x+6 | - 10
35 + 10 = 5 | x+6 |
45 = 5 | x+6 |
9 = | x+6 |
x + 6 = 9 x + 6 = -9
x = 9 - 6 x = -9 - 6
x = 3 x = -15
User Nicolas Perraut
by
8.8k points
4 votes
35 = 5|x + 6| - 10

First, add '10' to both sides.

35 + 10 = 5|x + 6|
Second, add 35 + 10.

45 = 5|x + 6|
Third, divide the sides by '5'.

(45)/(5) = |x + 6|
Fourth, since 9 × 5 = 45, simplify the fraction to 9.

9 = |x + 6|
Fifth, separate the equation into 2.

9 = x + 6 \\ and \\ 9 = -(x + 6)
Sixth, solve the first one.
(
1) 9 - 6 = x \\ 2) 3 = x \\ 3) x = 3
Seventh, solve the second one.

1) 9 = -x - 6 \\ 2) 9 + 6 = -x \\ 3) 15 = -x \\ 4) -15=x \\ 5) x = -15
Eighth, gather both the solutions you just got.

x = -15,3

Answer: x = -15, 3

User Vextorspace
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories