Are the equations |x-3|=7 and |x|-3=7

1. x=4 or x=10

2.  x=-10 or x=10

No equivalent

Step-by-step explanation:

1. |x-3|=7 and x-3=7

Absoulte rules.

x-3=-7 and x-3=7

Add 3 both sides.

x-3+3=-7+3

Simplify.

-7+3=-4

x=-4

x-3=7

Add by 3 both sides.

x-3+3=7+3=10

x=10

X=-4, and X=10 is the correct answer.

2. |x|-3=7

Add by 3 both sides.

|x|-3+3=7+3

Simplify.

7+3=10

X=10

X=-10 and X=10 is the correct answer.

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.