Consider this equation. |y + 6| = 2 What can be concluded of the equation? Check all that apply. There will be one solution. There will be two solutions. The solution to - (y + 6) = 2 will be also be a solution to the given absolute value equation. The solution (s) will be the number (s) on the number line 2 units away from - 6. The value of y must be positive since the variable is inside absolute value signs.

Question

Mathematics

Mateo Gill

31 August, 22:34

Consider this equation. |y + 6| = 2 What can be concluded of the equation? Check all that apply. There will be one solution. There will be two solutions. The solution to - (y + 6) = 2 will be also be a solution to the given absolute value equation. The solution (s) will be the number (s) on the number line 2 units away from - 6. The value of y must be positive since the variable is inside absolute value signs.

+5

Answers (2)

Know the Answer?

Eleanor Keller · Answer 1

See below.

Step-by-step explanation:

|y + 6| = 2

This means y + 6 = 2 or y + 6 = - 2 giving y = - 4, y = - 8.

Answers:

So we have 2 solutions.

The solution to - (y + 6) will also be a solution to the absolute equation.

The solutions will be the numbers on the number line 2 units away from - 6.

Raul · Answer 2

There will be two solutions

Step-by-step explanation:

The equation |y+6| = 2 will give us 2 values of y because of the modulus sign. The modulus sign shows that the value of y+6 will be next a negative and positive value. Solving the equation. If |y+6| is positive we have;

y+6 = 2

y = 2-6

y = - 4

If |y+6| is negative, the equation becomes;

- (y+6) = 2

-y-6 = 2

-y = 2+6

-y = 8

y = - 8

This shows that there will be 2solutions. The solutions are - 4 and - 8