Nate rented a power washer and a generator. on his first job, he used each piece of equipment for 6 hours which cost $90. on his second job, he used the power washer for 4 hours and the generator for 8 which cost $100. what's the hourly cost of each piece of equipment?

the hourly cost of renting a power washer is $5

the hourly cost of renting a generator is $10

Step-by-step explanation:

Let x represent the hourly cost of renting a power washer.

Let y represent the hourly cost of renting a generator.

On his first job, he used each piece of equipment for 6 hours which cost $90. This means that

6x + 6y = 90 - - - - - - - - 1

On his second job, he used the power washer for 4 hours and the generator for 8 which cost $100. This means that

4x + 8y = 100 - - - - - - - - - - 2

Multiplying equation 1 by 4 and equation 2 by 6, it becomes

24x + 24y = 360

24x + 48y = 600

Subtracting, it becomes

- 24y = - 240

y = - 240/-24 = 10

Substituting y = 10 into equation 1, it becomes

6x + 6 × 10 = 90

6x + 60 = 90

6x = 90 - 60 = 30

x = 30/6 = 5

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

noncoplanar points are points that do not lie on the same line.