For #6, x=-3, add 4 to both sides, divide by 2. #7 is 8, #8 is 3, #9 is 3, #10 is -5.
Assuming the x stands for multiplication... follow the ordering rules:
First let's take care of the exponents. 4²=16 and (-6)²=36. At the same time I will add some spacing between the terms:
3x16 - 36 + 4 - 6x4
Now do the multiplications:
48 - 36 + 4 - 24
The rest is just addition and subtraction
48 - 36 + 4 - 24 = -8
Given:
y varies directly with x,
It is given that y = 7 when x = -9.
To find:
The value of y when x = 27 for the direct variation.
Solution:
It is given that y varies directly with x, so

...(i)
Where, k is the constant of proportionality.
It is given that y = 7 when x = -9. Putting these values in (i), we get
Putting
in (i), we get

Putting
, we get


Therefore, the required value is
.
Answer:
17
Step-by-step explanation:
12+5
Answer:
(8, 72)
Step-by-step explanation:
Here we have two separate equations for y: y = 9x and y = 2x + 56.
Equating these equations eliminates y temporarily; we get:
9x = 2x + 56, or 7x = 56. Dividing both sides by 7 results in x = 8.
Then, by the first equation, y = 9(8) = 72.
The solution is (8, 72).