Solve. |3(x + 1) - 5| = -2x + 7 a) x = 9 5 b) x = -5 and 9 5 c) x = 9 5 and 5 d) x = 9 5 and 9 e) x = - 9 5 and 9

and x = -5

So the correct answer is letter B

Step-by-step explanation:

It is quite helpful to start this kind of problem from a simple example.

|a| = b is if a = b or if a = -b. |x| = 2 if x = 2 or if x = -2.

So in your question, we have:

a = 3(x + 1) - 5

b = -2x + 7

Applying like we saw in the bolded line, there are two solutions

Solution 1: |a| = b if a = b

a = b

3(x + 1) - 5 = -2x + 7

3x + 3 -5 = -2x + 7

3x - 2 = -2x + 7

3x + 2x = 7 + 2

5x = 9

Solution 2: |a| = b if a = -b

a = -b

3(x + 1) - 5 = -(-2x + 7)

3x + 3 -5 = 2x - 7

3x - 2 = 2x - 7

3x - 2x = -7 + 2

x = -5

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: