8x-6y=-96 add to this -4 times the second equation...
-8x-12y=-48
___________
-18y=-144
y=8, this makes 8x-6y=-96 become:
8x-48=-96
8x=-48
x=-6
so the solution to the system of equations is the point:
(-6,8)
Answer: Our required formula becomes :

Step-by-step explanation:
Since we have given that

We need to write a formula for f(b) in terms of b So, it becomes

Hence, our required formula becomes :

Answer: 200
Step-by-step explanation:
First I would do it like this.
12.5
X. 16
—————-
6 times 5 is 0, carry the 3, 6 times 2 is 12 and add 3 from the other which is 15, put the 1 from the 15 to the one next to the 12. 6 times 1 is 6 plus 1 is 7 which now you have 750. 5 times 1 is 5, 2 times 1 is 2, 1 times 1 is 1. It should look like this now.
12.5
X 16
—————
750
+ 1250
——————-
Which is 8750 but wait. Where is the decimal? Well, there is only one number behind the decimal so it is 875.0 or 875.
Answer: Horizontal
Step-by-step explanation: The equation <em>y = -2</em> can be thought of as y = 0x - 2. So our line has a slope of 0 and a y-intercept of -2.
To graph it, we start with the y-intercept, down 2 units on the y-axis. Now, if the slope of a line is 0, then the line must be flat or horizontal.
So we just draw a horizontal line through the y-intercept of -2.
In fact, when the equation of any line reads y = a number, it's graph will always be a horizontal line. For example, y = 3, y = -10, y = -8 and so on.
Image provided below.
Answer:
the download cost for a song is $1 and $11 for a movie
Step-by-step explanation:
According to the questions, the following equations are as follows:
Let us assume the song be x
And, the movies be y
So,
20x + 13y = $163.........(i)
13x + 13y = $156........(ii)
Now solve substract second equation from the first equation
7x = $7
x = $1
And the y value is
20 + 13y = $163
13y = $163 - $20
13y = $143
y = $11
Hence, the download cost for a song is $1 and $11 for a movie