Question

Find all possible answers and check your solutions.Solve equation.

a. |x| = 7 b. |2x| = 32

c. |x+7| = 10 d. |x| = 53.1

Answer 1

A.
lxl=7     
x=7                   x=-7      (Take two cases, one as the others side negative and the other as positive)
B. 
l2xl=32
2x=32               2x=-32
x=16                 x=-16
C.
lx+7l=10
x+7=10             x+7=-10
x=3                   x=-17
D.
lxl=53.1
x=53.1              x=-53.1

Answer 2

a. x=7,-7
    Verification: l7l=7                   l-7l=7

b. l2xl=32
     /2    /2
    lxl=16,-16
    Verification: l2(16)l=32                l2(-16)l=32
                        l32l=32                    l-32l=32
                                                        32=32

c. lx+7l=10
        -7    -7
    lxl=3
    Verification: l3+7l=10
                        l10l=10

d. lxl=53.1,-53.1
    Verification: l53.1l=53.1        l-53.1l=53.1
                                                  53.1=53.1

HOPE THIS HELPS!!!