Question

Not even gonna lie I'm kinda really stupid so these next 5 questions are really hard for me and i would GREATLY appreciate it if someone could answer them. ( r/8 is a fraction)
-37 + 4x = -7x - 6(x-8)

3(2n+7) = -7(-3 + 5n) -7n

1 - 8m = -9 - 6m

|r/8| = 1

| 10x + 3| = 103

BRAINLIEST FOR WHOEVER ANSWERS! I NEED HELP PLEASEEEEE

Answer 1

Answer:

1.) x = 5

2.) n = 0

3.) m = 5

4.) r = -8 or r = 8

5.) x = 10 or x = -53/5

Explanation:

1.) -37 + 4x = -7x -6(x - 8)

-37 + 4x = -7x - 6x + 48           Multiply -6(x - 8)

-37 + 4x = -13x + 48                 Combine like terms

4x = -13x + 85                          Add 37 to both sides

17x = 85                                   Add 13x to both sides

x = 5                                         Divide both sides by 17

2.) 3(2n + 7) = -7(-3 + 5n) - 7n

6n + 21 = 21 -35n - 7n             Multiply 3(2n + 7) and -7(-3 + 5n)

6n + 21 = 21 - 42n                   Combine like terms

6n = -42n                                Subtract 21 from both sides

48n = 0                                   Add 42n to both sides

n = 0                                      Divide both sides by 48

3.) 1 - 8m = -9 - 6m

-8m = -6m - 10                        Subtract 1 from both sides

-2m = -10                                 Add 6m to both sides

m = 5                                       Divide both sides by -2

4.) |r/8| = 1

If the lines mean absolute value, 8/8 equals 1; When you take the absolute value of -8/8, it becomes 8/8 with equates to 1.

5.) | 10x + 3| = 103

|10x| = 100                                Subtract 3 from both sides

x = 10                                       Divide both sides by 10

OR

Apply absolute rule: If |u | = a; a > 0 then u = a or u = -a

10x + 3 = -103

10x = -106                                Subtract 3 from both sides

x = -10.6                                  Divide both sides by 10

(-10.6 is -53/5 as a fraction)

To check:

-53 ÷ 5 = -10.6, multiply that by 10 to get -106. Add 3; -103. Then take the absolute value of that: 103.

Hope this helps,

♥A.W.E.S.W.A.N.♥