Question

PLS HELP AND SHOW WORK I WILL GIVE BRAINLIEST + EXTRA POINTS WHOEVER SHOWS WORK......
SOLVE FOR THE VARIBLE
1. 2+11b = 8b + 15
2. 7m + 32 = 12 - m
3. 16 - 5y = 1 - 4y
4. 2x - 8x + 1 = 9 - 10x

Answer 1

Answer:

1) b =

$\frac{13}{3}$

2)m = -2.5

3)y = 15

4)x=2

Step-by-step explanation:

1. subtract 8b from both sides
2. subtract 2 from both sides
3. divide both sides by 3
4. Substitute this value into the equation and if both sides are equal then it is the solution.

2)Simplifying

7m + 32 = 12 + -1m

Reorder the terms:

32 + 7m = 12 + -1m

Solving

32 + 7m = 12 + -1m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'm' to each side of the equation.

32 + 7m + m = 12 + -1m + m

Combine like terms: 7m + m = 8m

32 + 8m = 12 + -1m + m

Combine like terms: -1m + m = 0

32 + 8m = 12 + 0

32 + 8m = 12

Add '-32' to each side of the equation.

32 + -32 + 8m = 12 + -32

Combine like terms: 32 + -32 = 0

0 + 8m = 12 + -32

8m = 12 + -32

Combine like terms: 12 + -32 = -20

8m = -20

Divide each side by '8'.

m = -2.5

Simplifying

m = -2.5

3)Simplifying

16 + -5y = 1 + -4y

Solving

16 + -5y = 1 + -4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4y' to each side of the equation.

16 + -5y + 4y = 1 + -4y + 4y

Combine like terms: -5y + 4y = -1y

16 + -1y = 1 + -4y + 4y

Combine like terms: -4y + 4y = 0

16 + -1y = 1 + 0

16 + -1y = 1

Add '-16' to each side of the equation.

16 + -16 + -1y = 1 + -16

Combine like terms: 16 + -16 = 0

0 + -1y = 1 + -16

-1y = 1 + -16

Combine like terms: 1 + -16 = -15

-1y = -15

Divide each side by '-1'.

y = 15

Simplifying

y = 15

4)Simplifying

2x + -8x + 1 = 9 + -10x

Reorder the terms:

1 + 2x + -8x = 9 + -10x

Combine like terms: 2x + -8x = -6x

1 + -6x = 9 + -10x

Solving

1 + -6x = 9 + -10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10x' to each side of the equation.

1 + -6x + 10x = 9 + -10x + 10x

Combine like terms: -6x + 10x = 4x

1 + 4x = 9 + -10x + 10x

Combine like terms: -10x + 10x = 0

1 + 4x = 9 + 0

1 + 4x = 9

Add '-1' to each side of the equation.

1 + -1 + 4x = 9 + -1

Combine like terms: 1 + -1 = 0

0 + 4x = 9 + -1

4x = 9 + -1

Combine like terms: 9 + -1 = 8

4x = 8

Divide each side by '4'.

x = 2

Simplifying

x = 2