A(3 + x - 2b) = c(2x - 2)
3a + ax - 2ab = 2cx - 2c
2cx - ax = 3a - 2ab + 2c
x(2c - a) = 3a - 2ab + 2c
x = (3a - 2ab + 2c)/(2c - a)
5/8 is closer to 1/2 because
Carter- 20+10=30+(5x4)=50+2=$52
Aubrey- 10x2=20+(5x5)=45+7=$52
They both have the same amount of money
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
