Which of the following is(are) the solution(s( to |5x+2|=8?
2 answers:
Since, this is an absolute value expression. We know that there is going to be 2 solutions.
We know that either 5x + 2 = 8 and 5x + 2 = -8 are the solutions.
Steps to solve:
5x + 2 = 8
~Subtract 2 to both sides
5x + 2 - 2 = 8 - 2
~Simplify
5x = 6
~Divide 5 to both sides
5x/5 = 6/5
~Simplify
x = 6/5
Steps to solve:
5x + 2 = -8
~Subtract 2 to both sides
5x + 2 - 2 = -8 - 2
~Simplify
5x = -10
~Divide 5 to both sides
5x/5 = -10/5
~Simplify
x = -2
Best of Luck!
Answer:
Step-by-step explanation:
Given that
|5x+2|=8
Note that
|x|=x for ×>0
|x|=-x for ×<0.
So, for the first case
|5x+2|=8
5x+2=8
5x=8-2
5x=6
x=6/5
Also, the second aspect.
|5x+2|=8
-(5x+2)=8
Divide both side by -
5x+2=-8
5x=-8-2
5x=-10
x=-10/2
x=-5
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