Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y
2 answers:
9514 1404 393
Answer:
(x, y) = (7, 2 2/3)
Step-by-step explanation:
We can multiply the first equation by 2/5 to get ...
8x -6y = 40
The second equation gives an expression for 6y that we can substitute.
8x -(3x -5) = 40
5x +5 = 40 . . . . . eliminate parentheses
x +1 = 8 . . . . . . . .divide by 5
x = 7 . . . . . . . . . .subtract 1
Using the second equation, we find ...
3(7) -5 = 6y
y = 16/6 = 2 2/3
The coordinates of the point of intersection are (x, y) = (7, 2 2/3).
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Answer:
Step-by-step explanation:
Given the initial ratio of 3 parts water to 5 parts fruit juice, you can set up a proportion (equivalent ratios) to determine the amount of water needed with just 1 part of fruit juice:
cross multiply: 5x = 3
divide: 5x/5 = 3/5 or x = 3/5
3/5 = 0.6 parts water