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Tamiku [17]
3 years ago
7

1. |2x+5|=11 2. 3|x-4|+1=19 Please show all steps

Mathematics
2 answers:
AleksAgata [21]3 years ago
7 0

Answer:

1. x = 3

2. x = 10

Step-by-step explanation:

1. \:  \: (2x + 5) = 11 \\ 2x + 5 = 11 \\ 2x = 11 - 5 \\ 2x = 6 \\ x =  \frac{6}{2}  \\ x = 3 \\

2. \:  \: \:  3(x - 4) + 1 = 19 \\ 3x - 12 + 1 = 19 \\ 3x - 11 = 19 \\ 3x = 19 + 11 \\ 3x = 30 \\ x =  \frac{30}{3}  \\ x = 10 \\

lisabon 2012 [21]3 years ago
6 0

Answer:

1. x = 3 or x = -8

2. x = -2 or x = 10

Step-by-step explanation:

<u>1. |2x + 5| = 11</u>

2x + 5 = 11               Or             2x + 5 = -11

     -5    -5                                       -5    -5

-----------------                              -----------------

 2x = 6                                        2x = -16

 /2    /2                                        /2     /2

-----------------                              -----------------

  x = 3                                           x = -8

<u>2. 3|x - 4| + 1 = 19</u>

3|x - 4| + 1 = 19

           -1       -1

----------------------

3|x - 4| = 18

/3            /3

----------------------

|x - 4| = 6

x - 4 = -6               Or             x - 4 = 6

  +4    +4                                   +4    +4

-----------------                          -----------------

x = -2                                      x = 10

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