8x + 2y = 44
5x + 2y = 35
Since 2y is already common, there is no need for multiplication. Just reverse the signs on the equation.
Like this;
8x + 2y = 44
-5x - 2y = -35
All the additions become subtractions and vice versa.
-2y and +2y get cancelled.
Leaving;
8x = 44
-5x = -35
Now, subtract again.
8x - 5x = 3x
44 - 35 = 9
So;
3x = 9
x = 9 / 3
x = 3
We found 'x' and now we have to find 'y'.
Just substitute.
[8 x 3] + 2y = 44
24 + 2y = 44
2y = 44 - 24
2y = 20
y = 20 / 2
y = 10
Now, we re-check;
[8 x 3] + [2 x 10] = 44
24 + 20 = 44
Explaining the error for #9b is simply doing the whole sum.
Hope this helped! :) I tried my best to explain.
Answer: 2
Step-by-step explanation:
The slope of a line is
(rise over run)
This means for every point you must go up/down to get your next point you divide it by every point you go right/left.
From one point to the next it goes up 2 (rise) and right 1 (run)
so that is your slope
Answer:
- 7
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 5, - 2 ]
f(b) = f(- 2) = (- 2)² - 4 = 4 - 4 = 0
f(a) = f(- 5) = (- 5)² - 4 = 25 - 4 = 21, thus
average rate of change =
=
= - 7
The only two dice you can roll and multiply to get 30 are a five and a six. Thus, you get