Just "plug n chug" as my teacher would say. In other words, replace the letters with the values.
Choice A is (7,19) which means x = 7 and y = 19. Let's replace the x and y value with these numbers in both equations. If we get a true equation, then we found the answer.
2x-y = -5
2*7-19 = -5
14-19 = -5
-5 = -5 ... true
So that works. Let's try the other equation
x+3y = 22
7+3*19 = 22
7+57 = 22
64 = 22 ... false
So choice A is NOT the answer because of this. Let's try out choice B
2x-y = -5
2*4-9 = -5
-1 = -5 ... false
so B doesn't work either. How about C?
2x-y = -5
2*8-21 = -5
-5 = -5 ... that works
x+3y = 22
8+3*21 = 22
71 = 22 ... but this is false
So D has to be the answer. Let's check to confirm or not
2x-y = -5
2*1-7 = -5
-5 = -5 ... true
x+3y = 22
1+3*7 = 22
22 = 22 ... true
BOTH equations are true at the same time so (1,7) is definitely the final answer
Step-by-step explanation:
let us attend to each cases one after the other. each relationship is in bold in parenthesis
1. The cost of hiring a mover is based on the distance traveled and the total weight of the objects moved. (positive or direct proportional relationship)
2. The amount of time needed to paint a house decreases as the number of painters increases.(Negative or inverse relationships)
3. The income of a worker who gets paid an hourly wage depends on the number of hours worked positive or direct proportional relationship)
I THINK THE BUILDING IS 6X TALLER THAN A PERSON
(3,5)....x1 = 3 and y1 = 5
(1,3)....x2 = 1 and y2 = 3
slope formula : (y2 - y1) / (x2 - x1)
slope = (3 - 5) / (1 - 3) = -2/-2 = 1 <== slope is 1
