Direct Variation. Since k<span> is constant (the same for every point), we can find </span>k<span> when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x , and y = 6 when x = 2 , the constant of variation is </span>k<span> = = 3 . Thus, the equation describing this direct variation is y = 3x .</span>
Answer: x= -10 and Y=-20
Step-by-step explanation:
If y is equal to 2x that mean you need to substitute Y=5x+30 like this 2x=5x+30
Set the number of chickens as x and number of cows as <span>y
</span>so the farmer has total 28 animals
so x+y=28
you know that since the animals are healthy
chickens will have 2 legs and
cows will have 4 legs
the total number of legs are 64
so 2x+4y=64
since you want to find the number of cows
so from the first equation <span>x+y=28
</span>we will get another equation <span>x=28-y
</span>then plug into <span>2x+4y=64
2(28-y)+4y=64
56-2y+4y=64
56+2y=64
-56 -56
2y=8
y=4
</span>
Answer:
y=3x—1
Step-by-step explanation:
The line contains point (2,5)
so if we put x=2 in the equation, that'll give us y=5
only option that contains point (2,5) is:

Answer:
5/6 cups
Step-by-step explanation:
2/3 -walnuts
1/6-cranberries
2/3+1/6
common denominator-12
2/3 ·4/4=8/12
1/6 · 2/2= 2/12
8/12+2/12=10/12
10/12=5/6