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jinkiesandrosie
29.06.2019 •
Mathematics
Solve this absolute value equation and show all work. 1) 9 + |2x - 3| = 7 2) 3 + |2x - 4| = 15
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Ответ:
For the equation
1)![9 + | 2x - 3 | = 7](/tpl/images/0030/1793/9c529.png)
x=0.5 and x=2.5
For the equation
2)![3 + | 2x - 4 | = 15](/tpl/images/0030/1793/6e686.png)
x=8 and x=-4
Step-by-step explanation:
For the equation
1)![9 + | 2x - 3 | = 7](/tpl/images/0030/1793/9c529.png)
we have 2 cases
Case 1![(2x - 3) 0](/tpl/images/0030/1793/3de6a.png)
Case 2![(2x - 3)](/tpl/images/0030/1793/8ab37.png)
For the equation
2)![3 + | 2x - 4 | = 15](/tpl/images/0030/1793/6e686.png)
we have 2 cases
Case 1![(2x - 4) 0](/tpl/images/0030/1793/0c42c.png)
Case 2![(2x - 4)](/tpl/images/0030/1793/26e52.png)
Ответ:
Solve for x:
0.97x=156.17 (subtract the 16.99)
x=161 (divide by 0.97)
He drove 161 miles