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Solve the following absolute value equation.
\2+5) = 8
x = 51
X = - [?]
Notice that the negative sign is already entered!
Enter​

Solve the following absolute value equation25 8x 51X Notice that the negative sign is already enteredEnter class=

Respuesta :

Answer:

x = - 61

Step-by-step explanation:

The absolute function always returns a positive value.

However, the expression inside can be positive or negative.

Given

[tex]\frac{|x+5|}{7}[/tex] = 8 ( multiply both sides by 7 )

| x + 5 | = 56, thus

x + 5 = 56 OR - (x + 5) = 56

Solve

x + 5 = 56 ( subtract 5 from both sides )

x = 51 ← given solution

OR

- (x + 5) = 56 ← distribute left side

- x - 5 = 56 ( add 5 to both sides )

- x = 61 ( multiply both sides by - 1 )

x = - 61 ← required solution

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