Respuesta :

yungsherman
Answer:
6 + 7a = 22
-6 -7a = 22

Since the equation has an absolute value in it, the numbers underneath the radical can be positive or negative. That means the two equations that can be used to solve it are

6 + 7a = 22
And
-(6+7a) = 22
= -6 -7a = 22
gmany

Answer:

6 + 7a = 22 or 6 + 7a = -22

Step-by-step explanation:

[tex]|x|=a\iff x=a\ or\ x=-a,\ \text{for}\ a\geq0\\\\======================\\\\|6+7a|=22\iff6+7a=22\ or\ 6+7a=-22[/tex]

Solution:

[tex]6+7a=22\ or\ 6+7a=-22\qquad\text{subtract 6 from both sides}\\\\7a=16\ or\ 7a=-28\qquad\text{divide both sides by 7}\\\\a=\dfrac{16}{7}\ or\ a=-4[/tex]

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