Question

Solve and check by substitution if your answer is correct
1. -x + 24= -3x - 20
2. 4x - 3 = 2x -1
3. x/3 + 6 = 1\9

Answer 1

Answer:

$1. - x + 24 = - 3x - 20 \\ - x + 3x = - 20 - 24 \\ 2x = - 44 \\ x = \frac{ - 44}{2} \\ x = - 11$

$2.4x - 3 = 2x - 1 \\ 4x - 2x = 3 - 1 \\ 2x = 2 \\ x = \frac{2}{2} \\ x = 1$

$\frac{x}{3} + 6 = \frac{1}{9} \\ \frac{x}{3} = \frac{1}{9} - 6 \\ \frac{x}{3} = \frac{1 - 54}{9} \\ \frac{x}{3} = \frac{53}{9} \\ x = \frac{53 \times 3}{9} \\x = \frac{53}{3}$

Answer 2

Step-by-step explanation:

1. -x + 24= -3x - 20

-x + 3x = -20-24

2x = -44

x = -44/2

x= -22

CHECK:

Substituting for x.

-(-22) + 24 = -3(-22) - 20

+22 +24= +66 - 20

46= 46

2. 4x - 3 = 2x -1

4x-2x = -1+3

2x= 2

x=2/2

x=1

CHECK:

4(1) - 3=2(1)-1

4-3=2-1

1=1

3. x/3 + 6 = 1/9

x/3=1/9-6

x/3 = 1/9 - 5x9/1x9

x/3= 1 - 54/9

x/3= -53/9

x= -53/9x 3/1

x= -53/3

CHECK:

-53/3/3 + 6= 1/9

-53/3x3 +6 =1/9

-53/9+6 = 1/9

-53/9 + 6x9/1x9 =1/9

-53 + 54/9 = 1/9

1/9=1/9

    Hope it helped you. Take care.