X+y=12 -- 1
3x+2y=29 -- 2
(1)x2
2x+2y=24 -- 1
(2)-(1)
x=5
Sub x into 1
x+y=12
5+y=12
y=7
Her two numbers are 5 and 7
I’m getting $47.82. So yes, there is enough money. The change would be $2.18.
The first thing you should do is graph the following lines
2x + 3y = 8
x-2y = -3
x = 0
y = 0
After you have graphed them, you should proceed to evaluate points in the xy plane that meet the following restrictions:
2x + 3y≤8, x-2y≥-3, x≥0, y≥0
The resulting region is the region "R" shown in the attached graph.
I think it’s -3 1/3 because if you count your lines after -3 to -2 you get 3 and it’s on the first line so 1/3! Hope this makes sense :)
Lets get an example, for this example lets use 24/30 x 30/60
Without dividing out GCFs you would get 24x12 over 30 x 60 which is 288/1800
With dividing out GCFs you get 2/1 x 5/1 Which is 7 :)