1) is 5 units which can be found by graphing
2) I got 240 by graphing this one as well
4/12 and 5/8 is 96
1/4 and 5/6 is 20
3/5 and 4/10 is 50
4x - 3y = -11
-7x - 8y = 6
We need to cancel out one of the variables so let's multiply the first equation by 8 and the second by 3 and aim to cancel y.
32x - 24y = -88
-21x - 24y = 18
Now we subtract,
53x = -106
x = -2
3y = 4x + 11 = 4(-2) + 11 = 3
y = 1
Answer: (x,y)=(-2,1)
Check:
4(-2) -3(1) = -8 - 3 = -11, good
-7(-2) - 8(1) = 14 - 8 = 6, good
Answer: The ratios are proportional
Step-by-step explanation:
Tony tacos is selling 15 sodas for 10 dollars.
Nicks nachos is selling 30 sodas for 20dollars. The ratio of the number sodas sold by Tony tacos to the number of sodas sold by Nicks nachos is 15/30 = 1/2
The ratio of the cost of sodas sold by Tony tacos to the cost of sodas sold by Nicks nachos is 10/20 = 1/2
So the number of sodas sold is proportional to the cost.