3x − 2y = 6 3x + 10y = −12 Find the common x and y.
2 answers:
Answer:
(x, y) = (1, -1.5)
Step-by-step explanation:
Subtract the first equation from the second to eliminate the x-variable.
(3x +10y) -(3x -2y) = (-12) -(6)
12y = -18
y = -18/12 = -1.5
Substituting into the second equation, you get ...
3x +10(-1.5) = -12
3x -15 = -12 . . . . . . .simplify
3x = 3 . . . . . . . . . . . add 15
x = 1 . . . . . . . . . . . . . divide by 3
The values of x and y that satisfy both equations are (x, y) = (1, -1.5).
You might be interested in
Answer:
52,000 liters.
Step-by-step explanation:
We know that the Bottling Department completed 56,000 liters, but this is not the total amount of production started and completed, because there are 4,000 liters that are equivalent to work-in-process. In other words, those 4,000 liters equals a partially finished product that is awaiting further processing.
Because we want to know what the final finished product is, we simply subtract these 4000 liters.
Mathematically:
L = 52,000