Question

Name kuta Software afinite Algebra 2 Solving Absolute Value Equations Solve ench equation. 1) 3 - Date 2) 1-3r1 - 9 X3d-3 R = 3 and R-3

Answer 1

Question:

Solution:

Consider the following equation:

3 I- 8x I + 8 = 80

to solve this, first isolate the absolute value:

3 I- 8x I = 80-8

this is equivalent to:

3 I- 8x I = 72

now, solving for I- 8x I, we get:

I- 8x I = 72/3 = 24

now, split the equation up into two separate equations, and solve each of these equations:

Equation 1:

-8x = 24

this is equivalent to

x = -24/8 = -3

Equation 2:

-8x = -24

this is equivalent to:

x = -24/-8 = 24/8 = 3

then, we can conclude that the correct answer is:

x = -3 and x = 3