Respuesta :
Answer:
No Solution
Step-by-step explanation:
Assuming the lines are absolute value you must get rid of the other numbers first so:
5 |x+7| + 14 = 8
5 |x+7| = -6
and since absolute values can't equal a negative the answer is NO SOLUTION
Answer:
[tex]\Huge\boxed{\mathsf{\Rightarrow NO \quad SOLUTIONS}}[/tex]
Step-by-step explanation:
TO FIND:
The solution of 5|x+7|+14=8.
Isolate x on one side of the equation.
SOLVE (SOLUTIONS):
First, subtract 14 from both sides.
[tex]\Rightarrow \displaystyle \mathsf{5\left|x+7\right|+14-14=8-14}[/tex]
Solve.
[tex]\displaystyle \mathsf{14-8=6}[/tex]
[tex]\displaystyle \mathsf{5\left|x+7\right|=-6}}[/tex]
Then, divide by 5 from both sides.
[tex]\displaystyle \mathsf{\frac{5\left|x+7\right|}{5}=\frac{-6}{5}}[/tex]
Solve.
Rewrite the equation problem.
[tex]\Rightarrow \displaystyle \mathsf{\left|x+7\right|=-\frac{6}{5}}[/tex]
[tex]\Large\boxed{\mathsf{\Rightarrow THERE \quad ARE \quad NO \quad SOLUTIONS! }}[/tex]
So, there are no solutions.