Hello there.
6(8 - 2y) = 4y
To solve for this, we need to apply the Distributive Property to the left side of the equation. This property allows us to multiply the number outside of the parenthesis by all numbers inside of the parenthesis.
6(8 - 2y)
6(8) + 6(-2y)
48 - 12y
Now, let’s take a look at our equation.
-12y + 48 = 4y
To make things more simple, we’ll add 12y to both sides of the equation. This will cancel out -12y on the left side of the equation and will turn 4y on the right side of the equation into 16y.
Our new equation is:
16y = 48
Now all we need to do is divide both sides by 16 to solve for y.
16y / 16 = y
48 / 16 = 3
Our final answer and solution is:
Y = 3
I hope this helps!
Answer:
x = 30
Step-by-step explanation:
-2x + 10 +4x=70
-10 -10
-2x + 4x = 60
2x = 60
/2 /2
x = 30
Less than means minus so 7 less than means -7
-2 times a number x means -2 times x or -2x
is greater than or equal to means <u>></u>
41=41
so
-7+-2x<u>></u>41
-2x-7<u>></u>41
add 7 to both sides
-2x<u>></u>48
divide both sides by -2
remember to flip sign since divided by negative
x<u><</u>-96
Answer: 14 turkeys and a cat
Step-by-step explanation: Getting 32 feet from 15 heads shows that an animal has more than 2 feet. If the 15 heads all belonged to turkeys, we'd have 30 feet (which is 2 short of what was observed). Reducing the number of turkey by 1 and adding a cat balances the number of observed feet. That is, 14 turkeys (with a total of 28 feet) and a cat (with 4 feet). Adding, we have 28+4=32
