The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers is 38, find the two numbers.

16,22

larger number=22

smaller number=16

Step-by-step explanation:

let 2x-10=larger number

let x=smaller number

x+2x-10=38

Simplify

3x-10=38

   +10  +10

Add 10 to both sides of the equation

3x=48

divide both sides by 3

x=16

First answer.

2x-10=22

2nd answer

Check your work:

16+22=38

It is correct.

66 & -28

Step-by-step explanation:

x > y

x + y = 38

x = 10 - 2y

10 - 2y + y = 38

-y + 10 = 38

-y = 28

y = -28

x + (-28) = 38

x = 66

step-by-step explanation:

1

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b