Answer:
Step-by-step explanation:
p = power washer and g = generator
6p + 6g = 90 .....multiply by 4
4p + 8g = 100 ....multiply by -6
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24p + 24g = 360 (result of multiplying by 4)
-24p - 48g = -600 (result of multiplying by -6)
---------------------add
-24g = - 240
g = -240 / -24
g = 10 <=== the generator cost $ 10 per hr
6p + 6g = 90
6p + 6(10) = 90
6p + 60 = 90
6p = 90 - 60
6p = 30
p = 30/6
p = 5 <==== the power washer costs $ 5 per hr
check...
4p + 8g = 100
4(5) + 8(10) = 100
20 + 80 = 100
100 = 100 (correct)
Answer:
(x, y) = (5, -2)
Step-by-step explanation:
A graphing calculator provides a quick and easy way to find the solution.
_____
There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:
The intercepts of the first equation are ...
- x-intercept = 26/4 = 6 1/2
- y-intercept = -26/3 = -8 2/3
So the graph of it will form a triangle with the axes in the 4th quadrant.
The intercepts of the second equation are ...
- x-intercept = 11/3 = 3 2/3
- y-intercept = 11/2 = 5 1/2
So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.
The only 4th-quadrant answer choice is (5, -2).
Answer:
option 1 i believe
Step-by-step explanation:
just worked it out
i hope this is right and helps <3
(-1,8) and (5,6) are points on the line.
Slope of line = (8-6)/(-1-5) = 2/(-6) = -⅓
y-6 = -⅓(x-5)
y = -⅓x + 5/3 + 6 = -⅓x + 7⅔