Question

Please help me!! Fake answers will be reported

Answer 1

Answer: Now, I'm not so sure about the identify and inconsistent part, so I took a guess. Sorry if I'm wrong!

a. x = -8 (identify)

b. x = 6 (identify)

c. x = 5 = -1 (inconsistent)

d. x = 6 (identify)

d. (the second d; it looks like there are 2 d's) x = 5 (identify)

e. 1 = -1 (inconsistent)

f. x =
`(2)/(3)` (identify)

g. x = -3 (identify)

h. 5x+5 = 5x+5 (identify)

i. I don't know, sorry :/

Explanation:

a. 7x +5 = 2x - 35

-2x -2x (Subtract the smaller number with the x)

5x +5 = -35

-5 -5

5x = -40

x = -8 (Divide 5 with 5x and -40)

b.
`(x)/(3)` - 7 = -5

x - 21 = -15 (Multiply 3 with x/3, -7, and -5)

x = 6

c. 4x +5 = 4x -1

-4x -4x

5 = -1

d.
`(5(x-3))/(2)` -1 = 14

10(x-3) -2 = 28 (Multiply all numbers by 2)

10x -30 -2 = 28 (Combine -30 and -2)

10x -32 = 28

+32 +32

10x = 60

x = 6

d. 3 (x-1) +2 = x+9

3x -3 +2 = x+9

3x -1 = x+9 (Subtract x from both sides b/c x is basically 1x)

-x -x

2x -1 = 9

+1 +1

2x = 10

x = 5 (Divide 2 from both sides)

e. 4x-(2x-1) = x+5+x-6

4x -2x +1 = x+5+x-6 (Mulitply the negative sign w/ 2x and -1. The negative sign is basically a -1. So, a negative times a negative is a positive)

2x+1 = 2x -1 (You can stop here or keep going)

-2x -2x

1 = -1

f. 5(2x-6)+2=(4x+3)=8x-9

10x-30+8x+6 = 8x-9

18x - 24 = 8x - 9

+24 +24

18x = 8x + 15

-8x -8x

10x = 15 (Divide 10 by both sides)

x =
`(2)/(3)`

g.
`(2x+5)/(6)` =
`(x)/(18)`

6x = 18(2x+5)

6x = 36x+90

-6x -6x

0 = 30x + 90

-90 -90

-90 = 30x (Divide 30 by both sides)

-3 = x

h.
`(10x-4)/(2)` +7 = 5(x+1)

`(2(5x-2))/(2)` +7 = 5(x+1) (The 2 cancels out)

5x - 2 + 7 = 5(x+1) (Combine like terms and do distributive property)

5x+5 = 5x+5 (We can stop here because each side is the same)

i. I'm so sorry, I don't quite know :/