solve absolute value equation. 2|x-7|=x-8. show steps please

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15-08-2016
Mathematics

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solve absolute value equation. 2|x-7|=x-8. show steps please

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texaschic101 texaschic101 · Answer 1 · 2016-08-15T18:18:05+02:00

2 | x - 7| = x - 8....divide both sides by 2
| x - 7 | = 1/2x - 4

x - 7 = 1/2x - 4 x - 7 = -(1/2x - 4)
x - 1/2x = -4 + 7 x - 7 = -1/2x + 4
2/2x - 1/2x = 3 x + 1/2x = 4 + 7
1/2x = 3 3/2x = 11
x = 3 * 2 x = 11 * 2/3
x = 6 x = 22/3 or 7 1/3

so x = 6 and x = 22/3 or 7 1/3