Answer:
x = - 6
Step-by-step explanation:
given the 2 equations
3x + 5y = - 13 → (1)
2x - 3y = - 15 → (2)
To eliminate y from the equations we require their coefficients to be equal so that when we add the equations y is eliminated
multiply equation (1) by 3 and equation (2) by 5
9x + 15y = - 39 → (3)
10x - 15y = - 75 → (4)
add (3) and (4) term by term
(9x + 10x) + (15y - 15y) = (-39 - 75 )
19x = - 114 ( divide both sides by 19 )
x = - 6
To find y substitute x = - 6 into either (1) or (2)
2 divided by 47 so d....
Because they say fraction of this listed species are endangered plants
So you use total amount of endangered plant,2....and divide it by the total amount in the whole list 47
Answer: There are 32 candles in the small box.
Step-by-step explanation:
Since we have given that
Size of small box= 2 ounces
Size of large box = 6 ounces
Number of candles in large box = 96,
We need to find the number of candles in the small box ,
As there is direct variation between the small box and large box ,
let the number of candles in the small box be x
So,
so, there are 32 candles in the small box.
Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left. This makes all negatives positive and all positives negative. -4x + 12 = y
Then add the first equation to the second equation
4x +12 = -7y
<u>-4x + 12 </u>=<u> y </u> this eliminates the x's
<u>24</u> = -<u> 6y</u> then divide by - 6
- 6 - 6
- 4 = y<u>
</u>So if you know that y = negative 4, you can substitute into either equation. I pick the second one because I am a lazy person.
-y + 12 = 4 x
-(-4) + 12 = 4 x combine your numbers<u>
</u> <u> 16 </u> = <u>4 x </u> then divide by 4<u>
</u> 4 = x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)
Does that work for you?
Answer:
He must lose 4.4 pounds per week.
Step-by-step explanation:
Buffalo Bill currently weighs 202 lb. He wants to weigh 180 lbs for his reunion.
This means that he needs to lose 202 - 180 = 22 lb.
35 days from today.
Each week has 7 days. So this is 35/7 = 5 weeks from now.
How many pounds per week must he lose?
22 pounds in 5 weeks, that is 22/5 = 4.4 pounds per week.
