Question

How to write a justification for Line 2, Line 3, and Line 4? Explain why you chose each justification. Line 1 5x – 2 = 3x + 7 Line 2 2x – 2 = 7 Line 3 2x = 9 Line 4 x = 4.5

Answer 1

See Explanation (below) for Justification of each derived line

Explanation:

Line 1:`color(white)("XXX") 5x – 2 = 3x + 7`

`color(white)("XXXXXXXX")`Subtract `3x` from both sides of Line 1
Line 2:`color(white)("XXX")2x – 2 = 7`

`color(white)("XXXXXXXX")`Add `2` to both sides of Line 2
Line 3:`color(white)("XXX")2x = 9`

`color(white)("XXXXXXXX")`Divide both sides of Line 3 by `2`
Line 4:`color(white)("XXX")x = 4.5`