find the smaller number of two consecutive odd numbers such that the sum of the larger numbers and twice the smaller number is 27 less than four times the smaller number

29

Step-by-step explanation:

Let the smaller number be x

Let the bigger number be x+2

The information given in the question can be represented in a equation as:

x + 2 + 2x = 4x - 27

3x + 2 = 4x - 27

4x - 3x = 27 + 2

x = 29

The smaller number is 29

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2