Question

7x + 2 = -19 (b) 3x - 1/3 = 5 (c) 5x - 4 = 21 (d) -7x = 21 (e) 18 - 7x = -3 (f) 3(x + 4) = 21 (g) 3x - 9 = 5x - 3 (h) 4x + 6 - 7x + 9 = 18 (i) - 4/9 x = - 36 (j) -7/8x - 6 = 8 can any please elp me find the variables in the question

Answer 1

Explanation:

a)7x + 2 = -19 {subtract 2 from both sides}

7x + 2 - 2 = -19 - 2

7x = -21 {Divide both sides by 7}

7x/7 = -21/7

x = -3

b) 3x - 1/3 = 5

3x - 1/3 +1/3 = 5 + 1/3 {Add 1/3 to both sides}

3x =15/3 + 1/3

3x =16/3

3x/3 = 16/3*3 {Divide both sides by 3}

x =16/9

x =1 7/9

c) 5x - 4 = 21

5x -4 + 4 = 21 +4 {Add 4 to both sides}

5x = 25

5x/5 = 25/5 {Divide both sides by 5}

x = 5

d) -7x = 21 {Divide both sides by -7}

-7x/-7 = 21/-7

x = -3

e) 18 - 7x = -3

18 - 7x - 18 = -3 - 18 {Subtract 18 from both sides}

-7x = -21 {Divide both sides by -7}

-7x/-7 = -21/-7

x = 3

f) 3(x+4) = 21 {use distributive property}

3x + 3*4 = 21

3x + 12 = 21

3x + 12 - 12 = 21 - 12 {Subtract 12 from both sides}

3x = 9 {Divide both sides by 3}

3x/3 = 9/3

x = 3

g) 3x - 9 = 5x - 3 {add 9 to both sides}

3x - 9 + 9 = 5x - 3 + 9

3x = 5x + 6

3x - 5x = 5x + 6 - 5x { subtract 5x form both sides}

-2x = 6 {Divide both sides by -2}

-2x/-2 = 6/-2

x = -3

h) 4x + 6 - 7x + 9 = 18 {Add the like terms}

-3x + 15 = 18 {Subtract 15 from both sides}

-3x + 15 -15 = 18 - 15

-3x = 3 {Divide both sides by -3}

-3x/-3 = 3/-3

x = -1

`i) (-4)/(9)x = -36`

Multiply both sides by 9

`9*(-4)/(9)x =9*-36`

-4x = -324 {Divide both sides by -4}

-4x/-4 = -324/-4

x = -81

`j)(-7)/(8)x - 6 = 8` {Add 6 to both sides}

`(-7)/(8)x-6+6=8+6\\\\(-7)/(8)x=14\\` {Multiply both sides by 8}

`(-7)/(8)x*8=14*8\\\\-7x=14*8\\` {Divide both sides by -7}

`(-7)/(-7)x=(14*8)/(-7)`

x =-2*8

x = -16