2/5
5 goes into 10 2 times and into 25 5 times
We have the following system:
y = -2x + 5
3x-4y = 2
Substituting y in equation 2 we have:
3x-4 (-2x + 5) = 2
We clear x:
3x + 8x - 20 = 2
11x = 2 + 20
x = 22/11
x = 2
Then, we substitute x = 2 in equation 1:
y = -2 (2) +5
y = -4 + 5
y = 1
Answer:
The solution to the system of equations is:
x = 2
y = 1
Answer:
A. Helps scientists track weather
Step-by-step explanation:
Have you seen those weather guys on TV showing clouds and stuff, they got them via satellite or at least if there are animations, those are possible because they can see what the clouds or other stuff look like via satellites.
First, rewrite the equation, separating the terms inside the parentheses and multiplying each by the term preceding the parenthesis, remembering that the product of two negatives is a positive, and likewise (later) with quotients:
(-3 * 12) + (-3 * (-m)) = (-1 * m) + (-1 * (-8))
-36 + 3m = -m + 8
Subtract 8 from both sides:
(-36 - 8) + 3m = -m + (8 - 8)
-44 + 3m = -m
Divide each term by -m:
(-44 / (-m)) + (3m / (-m)) = -m / (-m)
(44 / m) - 3 = 1
Add 3 to both sides:
(44 / m) - 3 + 3 = 1 + 3
44 / m = 4
(is the answer jumping out at you yet?) :-)
Multiply both sides by m:
(44 / m) * m = 4m
44 = 4m
Divide both sides by 4:
44 / 4 = m
11 = m
Verify by substituting for m in the original equation:
-3(12 - m) = -1(m - 8)
-3(12 - 11) = -1(11 - 8)
-3(1) = -1(3)
-3 = -3
Voila! That's it!
18+ 13 gives you 31 so the difference between 13 and 31 is 18.
the answer is 31
