Question

"solve each equations /v+8/-5=2"

Answer 1

To solve the equation |v+8|-5=2, we move the 5 to the other side to isolate the absolute value, resulting in |v+8|=7.

Step-by-step explanation:

To solve the equation |v+8|-5=2, first, we need to isolate the absolute value expression by moving the 5 to the other side. This gives us |v+8|=2+5, which simplifies to |v+8|=7.

Next, we consider two possibilities since the absolute value of a number can be either positive or negative:

• v + 8 = 7
• v + 8 = -7

For the first case, subtract 8 from both sides to get v = -1. For the second case, subtract 8 from both sides to get v = -15. Therefore, the solutions to the equation are v = -1 and v = -15.

It's important to check these solutions in the original equation to ensure they make sense. After substituting the values of v back into the original equation, we see that both satisfy the equation, confirming that they are correct.