Solve for x: −4|x + 5| = −16 (2 points) x = 21 over 4 , x = − 11 over 4 x = −1, x = 9 x = −1, x = −9 no solution

The solutions of the equation are -1 , -9

Step-by-step explanation:

* Lets explain how to solve the problem

- The absolute value of a number is the positive value only

- Ex: If IxI = 5, then x = 5  OR  x = -5

* Lets solve the problem

∵ The equation is -4 Ix + 5I = -16

- At first divide both side by -4

∴ Ix + 5I = 4

∵ Ix + 5I = 4

∴ x + 5 = 4  OR  x + 5 = -4

∵ x + 5 = 4

- Subtract 5 from both sides

∴ x = -1

∵ x + 5 = -4

- Subtract 5 from both sides

∴ x = -9

* Lets check the answer

∵ x = -1

∵ The left hand side of the equation is -4 Ix + 5I

∴ -4 I-1 + 5I = -4 I4I

∵ I4I = 4

∴ -4 × 4 = -16

∵ The right hand side of the equation is -16

∴ x = -1 is a solution of the equation

∵ x = -9

∵ The left hand side of the equation is -4 Ix + 5I

∴ -4 I-9 + 5I = -4 I-4I

∵ I-4I = 4

∴ -4 × 4 = -16

∵ The right hand side of the equation is -16

∴ x = -9 is a solution of the equation

∴ The solutions of the equation are -1 , -9

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step-by-step explanation:

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