Solve 5|x+7|=65
5 Answers
embizze | High School Teacher | (Level 2) Educator Emeritus
Solve `5|x+7|=65` :
`|x+7|=13` dividing both sides by 5.
Now recall the definition of absolute value. `|x|=x` if x>0 and `|x|=-x` if x<0 (read as the opposite of x).
There are two possibilities for the inside of the absolute value bars in order to satisfy the equation. If the inside is 13 then |13|=13. If the inside is -13, however, then |-13|=13 also. So there are two possible answers:
`x+7=13==>x=6`
`x+7=-13==>x=-20`
So the two answers are 6 and -20.
Cosider the graph of `y=5|x+7|` and y=65:
justaguide | College Teacher | (Level 2) Distinguished Educator
The equation 5|x+7|=65 has to be solved for x.
5|x+7|=65
=> |x+7|= 13
|x + 7| = 13
=> x + 7 = 13 and x + 7 = -13
=> x = 6 and x = -20
The solution for the equation 5|x+7|=65 is x = 6 and x = -20
jess1999 | Student, Grade 9 | (Level 1) Valedictorian
5 | x + 7 | = 65
To solve this first divide both sides by 5 .
By dividing both sides by 5 , you should get
| x + 7 | = 13 now use the equation
x + 7 = 13 and x + 7 = -13
Now subtract 7 on both sides of both equation . By subtracting , you should get
x = 6 and x = -20 which are your answers
didi42741 | Student, Grade 11 | (Level 1) eNoter
In order to solve that problem 65=5|x+7|
divide each side by 5; 13=|x+7|
this is an absolute value problem so u going to get two answer
x+7=13 and x+7=-13
solve .....
x=6 and x=-20
studentaccount | Student, Grade 9 | (Level 1) eNoter
thank you very much! could you please explain though, why x+7=13 and -13 ?