With the following:
a. 3x+7=-x-1
b. 1-2x+5=4x-3
c. 4x-2+x=-2+2x
d. 3x-4+1=2x-5+5x
solve for x
( show work)

Answer and step-by-step explanation:

a. 3x+7=-x-1

Bring x into 1 side and the other number into another side, we got:

3x + x = -1 - 7

4x = -8

Divide both side by 4:

4x / 4 = -8/4

x = -2

b. 1-2x+5=4x-3

1 + 5 + 3 = 4x + 2x

9 = 6x

Divide both side by 6:

x = 9/6 = 3/2 or 1.5

c. 4x-2+x=-2+2x

4x + x - 2x = -2 + 2

3x = 0

x = 0

d. 3x-4+1=2x-5+5x

3x - 2x - 5x = -5 + 4 - 1

-10x = -2

x = -2/-10

x = 2/10 = 1/5 or 0.2

Hope this helped :3

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3   (change the inequality sign when multiplying or dividing by a negative number)

y < -3

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)